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Author ID: katzarkov.ludmil Recent zbMATH articles by "Katzarkov, Ludmil"
Published as: Katzarkov, Ludmil; Katzarkov, L.
Homepage: https://people.miami.edu/profile/285d74bf51ccc978f527c1386e82d0d4
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all top 5

Co-Authors

10 single-authored
16 Pantev, Tony G.
11 Auroux, Denis
11 Bogomolov, Fedor Alekseivich
10 Favero, David
8 Ballard, Matthew Robert
8 Dimitrov, George
7 Pandit, Pranav
6 Haiden, Fabian
6 Kontsevich, Maxim
6 Przhiyalkovskiĭ, Viktor Vladimirovich
5 Kerr, Gabriel
5 Simpson, Carlos Tschudi
4 Noll, Alexander
4 Orlov, Dmitri O.
3 Borisov, Dennis V.
3 Cheltsov, Ivan Anatol’evich
3 Deliu, Dragos
3 Diemer, Colin
3 Donaldson, Simon Kirwan
3 Harder, Andrew
3 Liu, Yijia
3 Lupercio, Ernesto
3 Ramachandran, Mohan
3 Sheshmani, Artan
2 Abouzaid, Mohammed
2 Abramovich, Dan
2 Amorós, Jaume
2 Bertram, Aaron
2 Efimov, Alexander I.
2 Galkin, Sergeĭ
2 Garavuso, Richard S.
2 Iliev, Atanas Iliev
2 Kreuzer, Maximilian
2 Meersseman, Laurent
2 Mellit, Anton S.
2 Pandharipande, Rahul
2 Shinder, Evgeny
2 Thaddeus, Michael
2 Toën, Bertrand
2 Verjovsky, Alberto
2 Yotov, Mirroslav
1 Akhmedov, Anar
1 Alexeev, Valery A.
1 Birkar, Caucher
1 Blanc, Anthony
1 Böhning, Christian
1 Borcherds, Richard Ewen
1 Chen, Xiuxiong
1 Daskalopoulos, Georgios D.
1 de Oliveira, Bruno
1 Eyssidieux, Philippe
1 Fan, Yuwei
1 Filip, Simion
1 Graf von Bothmer, Hans-Christian
1 Green, Mark Lee
1 Griffiths, Phillip Augustus
1 Gross, Mark
1 Gukov, Sergei
1 Horja, Richard Paul
1 Itenberg, Ilia V.
1 Kanev, V. I.
1 Kapustin, Anton
1 Karzhemanov, Ilya
1 Kasprzyk, Alexander M.
1 Knapp, Johanna
1 Lee, Kyoung-Seog
1 Mikhalkin, Grigory B.
1 Nirschl, N.
1 Park, Jihun
1 Rashkov, Radoslav C.
1 Rebhan, Anton
1 Ruddat, Helge P.
1 Sakovics, Dmitrijs
1 Scheidegger, Emanuel
1 Shepherd-Barron, Nicholas Ian
1 Soibelman, Yan S.
1 Soriani, Leonardo
1 Sosna, Pawel
1 Spaide, Theodore
1 Svoboda, Josef
1 Tschinkel, Yuri
1 Turrubiates, Francisco J.
1 Wentworth, Richard A.
1 Yamanoi, Katsutoshi
1 Yau, Shing-Tung
1 Zharkov, Ilia

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 1,178 times in 802 Documents Cited by Year
Hodge theoretic aspects of mirror symmetry. Zbl 1206.14009
Katzarkov, L.; Kontsevich, Maxim; Pantev, Tony
117
2008
Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves. Zbl 1110.14033
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
69
2006
Flat surfaces and stability structures. Zbl 1390.32010
Haiden, F.; Katzarkov, L.; Kontsevich, M.
69
2017
Mirror symmetry for weighted projective planes and their noncommutative deformations. Zbl 1175.14030
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
65
2008
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces. Zbl 1368.14056
Abouzaid, Mohammed; Auroux, Denis; Katzarkov, Ludmil
51
2016
Variation of geometric invariant theory quotients and derived categories. Zbl 1432.14015
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
48
2019
Dynamical systems and categories. Zbl 1348.18017
Dimitrov, G.; Haiden, F.; Katzarkov, L.; Kontsevich, M.
42
2014
A category of kernels for equivariant factorizations and its implications for Hodge theory. Zbl 1401.14086
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
39
2014
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
38
2005
Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models. Zbl 1361.35172
Katzarkov, Ludmil; Kontsevich, Maxim; Pantev, Tony
36
2017
Orlov spectra: bounds and gaps. Zbl 1266.14013
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
32
2012
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
32
2003
Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith. Zbl 1031.57021
Amorós, J.; Bogomolov, F.; Katzarkov, L.; Pantev, T.
29
2000
Homological mirror symmetry for punctured spheres. Zbl 1276.53089
Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri
26
2013
Families of K3 surfaces. Zbl 0946.14021
Borcherds, Richard E.; Katzarkov, Ludmil; Pantev, Tony; Shepherd-Barron, N. I.
26
1998
Tropical homology. Zbl 1460.14146
Itenberg, Ilia; Katzarkov, Ludmil; Mikhalkin, Grigory; Zharkov, Ilia
24
2019
Towards mirror symmetry for varieties of general type. Zbl 1371.14046
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge
24
2017
Determinantal Barlow surfaces and phantom categories. Zbl 1323.14014
Böhning, Christian; Graf von Bothmer, Hans-Christian; Katzarkov, Ludmil; Sosna, Pawel
23
2015
Homological projective duality via variation of geometric invariant theory quotients. Zbl 1400.14048
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil
22
2017
Homological mirror symmetry for manifolds of general type. Zbl 1200.53079
Kapustin, Anton; Katzarkov, Ludmil; Orlov, Dmitri; Yotov, Mirroslav
22
2009
Resolutions in factorization categories. Zbl 1353.13016
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil
19
2016
Linear Shafarevich conjecture. Zbl 1273.32015
Eyssidieux, P.; Katzarkov, L.; Pantev, T.; Ramachandran, M.
18
2012
Harmonic maps to buildings and singular perturbation theory. Zbl 1314.32021
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
17
2015
Double solids, categories and non-rationality. Zbl 1303.14026
Iliev, Atanas; Katzarkov, Ludmil; Przyjalkowski, Victor
13
2014
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
13
2004
Branched coverings of \(\mathbb{C}\mathbb{P}^2\) and invariants of symplectic 4-manifolds. Zbl 0961.57019
Auroux, Denis; Katzarkov, Ludmil
12
2000
On \(k\)-stability of reductive varieties. Zbl 1122.32016
Alexeev, V.; Katzarkov, L.
11
2005
Symplectomorphism group relations and degenerations of Landau-Ginzburg models. Zbl 1354.53084
Diemer, Colin; Katzarkov, Ludmil; Kerr, Gabriel
10
2016
Landau-Ginzburg models – old and new. Zbl 1360.81003
Katzarkov, Ludmil; Przyjalkowski, Victor
10
2012
The definition of a non-commutative toric variety. Zbl 1330.14002
Katzarkov, Ludmil; Lupercio, Ernesto; Meersseman, Laurent; Verjovsky, Alberto
10
2014
Bridgeland stability conditions on the acyclic triangular quiver. Zbl 1423.16013
Dimitrov, George; Katzarkov, Ludmil
10
2016
Derived categories of Keum’s fake projective planes. Zbl 1327.14081
Galkin, Sergey; Katzarkov, Ludmil; Mellit, Anton; Shinder, Evgeny
10
2015
On the derived categories of degree \(d\) hypersurface fibrations. Zbl 1423.14114
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil
10
2018
A category of kernels for equivariant factorizations. II: Further implications. Zbl 1326.14036
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
10
2014
Algebraic and topological aspects of the schematization functor. Zbl 1183.14017
Katzarkov, L.; Pantev, T.; Toën, B.
10
2009
Generalized homological mirror symmetry and cubics. Zbl 1312.14054
Katzarkov, L.; Przyjalkowski, V.
9
2009
On the universal coverings of algebraic surfaces. Zbl 0936.14012
Katzarkov, L.; Ramachandran, M.
9
1998
Schematic homotopy types and non-abelian Hodge theory. Zbl 1158.14013
Katzarkov, L.; Pantev, T.; Toën, B.
9
2008
Birational geometry and homological mirror symmetry. Zbl 1183.14056
Katzarkov, Ludmil
9
2007
Compactifications of spaces of Landau-Ginzburg models. Zbl 1277.14015
Diemer, C.; Katzarkov, Ludmil; Kerr, Gabriel
7
2013
On the Shafarevich maps. Zbl 0906.14007
Katzarkov, L.
7
1997
On the Griffiths groups of Fano manifolds of Calabi-Yau Hodge type. Zbl 1311.14041
Favero, David; Iliev, Atanas; Katzarkov, Ludmil
7
2014
Birational geometry via moduli spaces. Zbl 1302.14035
Cheltsov, Ivan; Katzarkov, Ludmil; Przyjalkowski, Victor
6
2013
Complex projective surfaces and infinite groups. Zbl 0942.14010
Bogomolov, F.; Katzarkov, L.
6
1998
Nilpotent groups and universal coverings of smooth projective varieties. Zbl 0876.14008
Katzarkov, L.
5
1997
Perverse sheaves of categories and some applications. Zbl 1440.14084
Harder, Andrew; Katzarkov, Ludmil
5
2019
Generators in formal deformations of categories. Zbl 1412.14003
Blanc, Anthony; Katzarkov, Ludmil; Pandit, Pranav
5
2018
Homological mirror symmetry and algebraic cycles. Zbl 1166.81035
Katzarkov, L.
5
2009
Hyperelliptic Szpiro inequality. Zbl 1040.14015
Bogomolov, Fedor; Katzarkov, Ludmil; Pantev, Tony
4
2002
The Mori program and non-Fano toric homological mirror symmetry. Zbl 1400.14104
Ballard, Matthew; Diemer, Colin; Favero, David; Katzarkov, Ludmil; Kerr, Gabriel
4
2015
Non-semistable exceptional objects in hereditary categories: some remarks and conjectures. Zbl 1346.18016
Dimitrov, George; Katzarkov, Ludmil
4
2015
Some new categorical invariants. Zbl 1434.14002
Dimitrov, George; Katzarkov, Ludmil
4
2019
Constructing buildings and harmonic maps. Zbl 1391.32017
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
4
2017
Symplectic four-manifolds and projective surfaces. Zbl 1054.57500
Bogomolov, F.; Katzarkov, L.
4
1998
Generalized homological mirror symmetry and rationality questions. Zbl 1210.14043
Katzarkov, Ludmil
4
2010
Bridgeland stability conditions on wild Kronecker quivers. Zbl 1428.14028
Dimitrov, George; Katzarkov, Ludmil
3
2019
Non-semistable exceptional objects in hereditary categories. Zbl 1404.18022
Dimitrov, George; Katzarkov, Ludmil
3
2016
Super Landau-Ginzburg mirrors and algebraic cycles. Zbl 1301.81212
Garavuso, Richard S.; Katzarkov, Ludmil; Kreuzer, Maximilian; Noll, Alexander
3
2011
Calabi-Yau structures, spherical functors, and shifted symplectic structures. Zbl 1490.14061
Katzarkov, Ludmil; Pandit, Pranav; Spaide, Theodore
3
2021
Semistability, modular lattices, and iterated logarithms. Zbl 07690278
Haiden, F.; Katzarkov, L.; Kontsevich, M.; Pandit, P.
3
2023
Categorical base loci and spectral gaps, via Okounkov bodies and Nevanlinna theory. Zbl 1345.18014
Katzarkov, Ludmil; Liu, Yijia
2
2014
Orlov spectra as a filtered cohomology theory. Zbl 1345.18013
Katzarkov, Ludmil; Kerr, Gabriel
2
2013
Perverse sheaves of categories and non-rationality. Zbl 1414.14003
Harder, Andrew; Katzarkov, Ludmil; Liu, Yijia
2
2017
Deformations of large fundamental groups. Zbl 1169.14305
de Oliveira, B.; Katzarkov, L.; Ramachandran, M.
2
2002
Stable \(G_ 2\) bundles and algebraically completely integrable systems. Zbl 0806.14019
Katzarkov, L.; Pantev, T.
2
1994
\(\mathrm{P}=\mathrm{W}\) phenomena. Zbl 1446.14023
Katzarkov, L.; Przyjalkowski, V. V.; Harder, A.
2
2020
Harmonic maps to Teichmüller space. Zbl 0956.32014
Daskalopoulos, Georgios; Katzarkov, Ludmil; Wentworth, Richard
2
2000
A degree doubling formula for braid monodromies and Lefschetz pencils. Zbl 1153.57018
Auroux, Denis; Katzarkov, Ludmil
2
2008
Quantum (non-commutative) toric geometry: foundations. Zbl 1518.14004
Katzarkov, Ludmil; Lupercio, Ernesto; Meersseman, Laurent; Verjovsky, Alberto
2
2021
Strings, gauge fields, and the geometry behind. The legacy of Maximilian Kreuzer. Zbl 1255.81011
1
2013
Universal properties of Prym varieties of singular curves. Zbl 0676.14011
Kanev, V. I.; Katsarkov, L.
1
1988
Homological mirror symmetry, coisotropic branes and \(P=W\). Zbl 1505.53093
Katzarkov, Ludmil; Soriani, Leonardo
1
2018
Representations of fundamental groups whose Higgs bundles are pullbacks. Zbl 0810.14010
Katzarkov, L.; Pantev, T.
1
1994
Erratum: Super Landau-Ginzburg mirrors and algebraic cycles. Zbl 1298.81342
Garavuso, Richard S.; Katzarkov, Ludmil; Kreuzer, Maximilian; Noll, Alexander
1
2011
Shifted symplectic structures on derived quot-stacks. I: Differential graded manifolds. Zbl 1498.14005
Borisov, Dennis; Katzarkov, Ludmil; Sheshmani, Artan
1
2022
Symplectic surgeries along certain singularities and new Lefschetz fibrations. Zbl 1430.57024
Akhmedov, Anar; Katzarkov, Ludmil
1
2020
Density of monodromy actions on non-abelian cohomology. Zbl 1098.14012
Katzarkov, Ludmil; Pantev, Tony; Simpson, Carlos
1
2003
Infinite groups in projective and symplectic geometry. Zbl 0945.20023
Bogomolov, F.; Katzarkov, L.
1
1999
Homological mirror symmetry and algebraic cycles. Zbl 1169.14316
Katzarkov, Ludmil
1
2009
On pseudo-Anosov autoequivalences. Zbl 1514.14020
Fan, Yu-Wei; Filip, Simion; Haiden, Fabian; Katzarkov, Ludmil; Liu, Yijia
1
2021
Noncommutative counting invariants and curve complexes. Zbl 1524.14006
Dimitrov, George; Katzarkov, Ludmil
1
2022
Semistability, modular lattices, and iterated logarithms. Zbl 07690278
Haiden, F.; Katzarkov, L.; Kontsevich, M.; Pandit, P.
3
2023
Shifted symplectic structures on derived quot-stacks. I: Differential graded manifolds. Zbl 1498.14005
Borisov, Dennis; Katzarkov, Ludmil; Sheshmani, Artan
1
2022
Noncommutative counting invariants and curve complexes. Zbl 1524.14006
Dimitrov, George; Katzarkov, Ludmil
1
2022
Calabi-Yau structures, spherical functors, and shifted symplectic structures. Zbl 1490.14061
Katzarkov, Ludmil; Pandit, Pranav; Spaide, Theodore
3
2021
Quantum (non-commutative) toric geometry: foundations. Zbl 1518.14004
Katzarkov, Ludmil; Lupercio, Ernesto; Meersseman, Laurent; Verjovsky, Alberto
2
2021
On pseudo-Anosov autoequivalences. Zbl 1514.14020
Fan, Yu-Wei; Filip, Simion; Haiden, Fabian; Katzarkov, Ludmil; Liu, Yijia
1
2021
\(\mathrm{P}=\mathrm{W}\) phenomena. Zbl 1446.14023
Katzarkov, L.; Przyjalkowski, V. V.; Harder, A.
2
2020
Symplectic surgeries along certain singularities and new Lefschetz fibrations. Zbl 1430.57024
Akhmedov, Anar; Katzarkov, Ludmil
1
2020
Variation of geometric invariant theory quotients and derived categories. Zbl 1432.14015
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
48
2019
Tropical homology. Zbl 1460.14146
Itenberg, Ilia; Katzarkov, Ludmil; Mikhalkin, Grigory; Zharkov, Ilia
24
2019
Perverse sheaves of categories and some applications. Zbl 1440.14084
Harder, Andrew; Katzarkov, Ludmil
5
2019
Some new categorical invariants. Zbl 1434.14002
Dimitrov, George; Katzarkov, Ludmil
4
2019
Bridgeland stability conditions on wild Kronecker quivers. Zbl 1428.14028
Dimitrov, George; Katzarkov, Ludmil
3
2019
On the derived categories of degree \(d\) hypersurface fibrations. Zbl 1423.14114
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil
10
2018
Generators in formal deformations of categories. Zbl 1412.14003
Blanc, Anthony; Katzarkov, Ludmil; Pandit, Pranav
5
2018
Homological mirror symmetry, coisotropic branes and \(P=W\). Zbl 1505.53093
Katzarkov, Ludmil; Soriani, Leonardo
1
2018
Flat surfaces and stability structures. Zbl 1390.32010
Haiden, F.; Katzarkov, L.; Kontsevich, M.
69
2017
Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models. Zbl 1361.35172
Katzarkov, Ludmil; Kontsevich, Maxim; Pantev, Tony
36
2017
Towards mirror symmetry for varieties of general type. Zbl 1371.14046
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge
24
2017
Homological projective duality via variation of geometric invariant theory quotients. Zbl 1400.14048
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil
22
2017
Constructing buildings and harmonic maps. Zbl 1391.32017
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
4
2017
Perverse sheaves of categories and non-rationality. Zbl 1414.14003
Harder, Andrew; Katzarkov, Ludmil; Liu, Yijia
2
2017
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces. Zbl 1368.14056
Abouzaid, Mohammed; Auroux, Denis; Katzarkov, Ludmil
51
2016
Resolutions in factorization categories. Zbl 1353.13016
Ballard, Matthew; Deliu, Dragos; Favero, David; Isik, M. Umut; Katzarkov, Ludmil
19
2016
Symplectomorphism group relations and degenerations of Landau-Ginzburg models. Zbl 1354.53084
Diemer, Colin; Katzarkov, Ludmil; Kerr, Gabriel
10
2016
Bridgeland stability conditions on the acyclic triangular quiver. Zbl 1423.16013
Dimitrov, George; Katzarkov, Ludmil
10
2016
Non-semistable exceptional objects in hereditary categories. Zbl 1404.18022
Dimitrov, George; Katzarkov, Ludmil
3
2016
Determinantal Barlow surfaces and phantom categories. Zbl 1323.14014
Böhning, Christian; Graf von Bothmer, Hans-Christian; Katzarkov, Ludmil; Sosna, Pawel
23
2015
Harmonic maps to buildings and singular perturbation theory. Zbl 1314.32021
Katzarkov, Ludmil; Noll, Alexander; Pandit, Pranav; Simpson, Carlos
17
2015
Derived categories of Keum’s fake projective planes. Zbl 1327.14081
Galkin, Sergey; Katzarkov, Ludmil; Mellit, Anton; Shinder, Evgeny
10
2015
The Mori program and non-Fano toric homological mirror symmetry. Zbl 1400.14104
Ballard, Matthew; Diemer, Colin; Favero, David; Katzarkov, Ludmil; Kerr, Gabriel
4
2015
Non-semistable exceptional objects in hereditary categories: some remarks and conjectures. Zbl 1346.18016
Dimitrov, George; Katzarkov, Ludmil
4
2015
Dynamical systems and categories. Zbl 1348.18017
Dimitrov, G.; Haiden, F.; Katzarkov, L.; Kontsevich, M.
42
2014
A category of kernels for equivariant factorizations and its implications for Hodge theory. Zbl 1401.14086
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
39
2014
Double solids, categories and non-rationality. Zbl 1303.14026
Iliev, Atanas; Katzarkov, Ludmil; Przyjalkowski, Victor
13
2014
The definition of a non-commutative toric variety. Zbl 1330.14002
Katzarkov, Ludmil; Lupercio, Ernesto; Meersseman, Laurent; Verjovsky, Alberto
10
2014
A category of kernels for equivariant factorizations. II: Further implications. Zbl 1326.14036
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
10
2014
On the Griffiths groups of Fano manifolds of Calabi-Yau Hodge type. Zbl 1311.14041
Favero, David; Iliev, Atanas; Katzarkov, Ludmil
7
2014
Categorical base loci and spectral gaps, via Okounkov bodies and Nevanlinna theory. Zbl 1345.18014
Katzarkov, Ludmil; Liu, Yijia
2
2014
Homological mirror symmetry for punctured spheres. Zbl 1276.53089
Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri
26
2013
Compactifications of spaces of Landau-Ginzburg models. Zbl 1277.14015
Diemer, C.; Katzarkov, Ludmil; Kerr, Gabriel
7
2013
Birational geometry via moduli spaces. Zbl 1302.14035
Cheltsov, Ivan; Katzarkov, Ludmil; Przyjalkowski, Victor
6
2013
Orlov spectra as a filtered cohomology theory. Zbl 1345.18013
Katzarkov, Ludmil; Kerr, Gabriel
2
2013
Strings, gauge fields, and the geometry behind. The legacy of Maximilian Kreuzer. Zbl 1255.81011
1
2013
Orlov spectra: bounds and gaps. Zbl 1266.14013
Ballard, Matthew; Favero, David; Katzarkov, Ludmil
32
2012
Linear Shafarevich conjecture. Zbl 1273.32015
Eyssidieux, P.; Katzarkov, L.; Pantev, T.; Ramachandran, M.
18
2012
Landau-Ginzburg models – old and new. Zbl 1360.81003
Katzarkov, Ludmil; Przyjalkowski, Victor
10
2012
Super Landau-Ginzburg mirrors and algebraic cycles. Zbl 1301.81212
Garavuso, Richard S.; Katzarkov, Ludmil; Kreuzer, Maximilian; Noll, Alexander
3
2011
Erratum: Super Landau-Ginzburg mirrors and algebraic cycles. Zbl 1298.81342
Garavuso, Richard S.; Katzarkov, Ludmil; Kreuzer, Maximilian; Noll, Alexander
1
2011
Generalized homological mirror symmetry and rationality questions. Zbl 1210.14043
Katzarkov, Ludmil
4
2010
Homological mirror symmetry for manifolds of general type. Zbl 1200.53079
Kapustin, Anton; Katzarkov, Ludmil; Orlov, Dmitri; Yotov, Mirroslav
22
2009
Algebraic and topological aspects of the schematization functor. Zbl 1183.14017
Katzarkov, L.; Pantev, T.; Toën, B.
10
2009
Generalized homological mirror symmetry and cubics. Zbl 1312.14054
Katzarkov, L.; Przyjalkowski, V.
9
2009
Homological mirror symmetry and algebraic cycles. Zbl 1166.81035
Katzarkov, L.
5
2009
Homological mirror symmetry and algebraic cycles. Zbl 1169.14316
Katzarkov, Ludmil
1
2009
Hodge theoretic aspects of mirror symmetry. Zbl 1206.14009
Katzarkov, L.; Kontsevich, Maxim; Pantev, Tony
117
2008
Mirror symmetry for weighted projective planes and their noncommutative deformations. Zbl 1175.14030
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
65
2008
Schematic homotopy types and non-abelian Hodge theory. Zbl 1158.14013
Katzarkov, L.; Pantev, T.; Toën, B.
9
2008
A degree doubling formula for braid monodromies and Lefschetz pencils. Zbl 1153.57018
Auroux, Denis; Katzarkov, Ludmil
2
2008
Birational geometry and homological mirror symmetry. Zbl 1183.14056
Katzarkov, Ludmil
9
2007
Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves. Zbl 1110.14033
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri
69
2006
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
38
2005
On \(k\)-stability of reductive varieties. Zbl 1122.32016
Alexeev, V.; Katzarkov, L.
11
2005
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
13
2004
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
32
2003
Density of monodromy actions on non-abelian cohomology. Zbl 1098.14012
Katzarkov, Ludmil; Pantev, Tony; Simpson, Carlos
1
2003
Hyperelliptic Szpiro inequality. Zbl 1040.14015
Bogomolov, Fedor; Katzarkov, Ludmil; Pantev, Tony
4
2002
Deformations of large fundamental groups. Zbl 1169.14305
de Oliveira, B.; Katzarkov, L.; Ramachandran, M.
2
2002
Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith. Zbl 1031.57021
Amorós, J.; Bogomolov, F.; Katzarkov, L.; Pantev, T.
29
2000
Branched coverings of \(\mathbb{C}\mathbb{P}^2\) and invariants of symplectic 4-manifolds. Zbl 0961.57019
Auroux, Denis; Katzarkov, Ludmil
12
2000
Harmonic maps to Teichmüller space. Zbl 0956.32014
Daskalopoulos, Georgios; Katzarkov, Ludmil; Wentworth, Richard
2
2000
Infinite groups in projective and symplectic geometry. Zbl 0945.20023
Bogomolov, F.; Katzarkov, L.
1
1999
Families of K3 surfaces. Zbl 0946.14021
Borcherds, Richard E.; Katzarkov, Ludmil; Pantev, Tony; Shepherd-Barron, N. I.
26
1998
On the universal coverings of algebraic surfaces. Zbl 0936.14012
Katzarkov, L.; Ramachandran, M.
9
1998
Complex projective surfaces and infinite groups. Zbl 0942.14010
Bogomolov, F.; Katzarkov, L.
6
1998
Symplectic four-manifolds and projective surfaces. Zbl 1054.57500
Bogomolov, F.; Katzarkov, L.
4
1998
On the Shafarevich maps. Zbl 0906.14007
Katzarkov, L.
7
1997
Nilpotent groups and universal coverings of smooth projective varieties. Zbl 0876.14008
Katzarkov, L.
5
1997
Stable \(G_ 2\) bundles and algebraically completely integrable systems. Zbl 0806.14019
Katzarkov, L.; Pantev, T.
2
1994
Representations of fundamental groups whose Higgs bundles are pullbacks. Zbl 0810.14010
Katzarkov, L.; Pantev, T.
1
1994
Universal properties of Prym varieties of singular curves. Zbl 0676.14011
Kanev, V. I.; Katsarkov, L.
1
1988
all top 5

Cited by 827 Authors

44 Katzarkov, Ludmil
15 Przhiyalkovskiĭ, Viktor Vladimirovich
14 Favero, David
12 Ballard, Matthew Robert
12 Baykur, Refik İnanç
10 Polishchuk, Alexander Evgen’evich
10 Smith, Ivan
9 Akhmedov, Anar
9 Harder, Andrew
9 Iritani, Hiroshi
9 Orlov, Dmitri O.
9 Ruddat, Helge P.
9 Schroll, Sibylle
9 Ueda, Kazushi
8 Lau, Siu-Cheong
8 Lekili, Yankı
7 Amram, Meirav
7 Auroux, Denis
7 Chan, Kwokwai
7 Hayano, Kenta
7 Ouchi, Genki
6 Kerr, Gabriel
6 Lee, Kyoung-Seog
6 Park, B. Doug
6 Qiu, Yu
6 Romo, Mauricio
6 Segal, Ed
6 Takahashi, Atsushi
6 Teicher, Mina
6 Torres, Rafael
5 Abouzaid, Mohammed
5 Catanese, Fabrizio M. E.
5 Efimov, Alexander I.
5 Fan, Yuwei
5 Gasparim, Elizabeth
5 Hirano, Yuki
5 Keating, Ailsa M.
5 Leung, Naichung Conan
5 Li, Yan
5 Ma, Shouhei
5 Pandit, Pranav
5 Pridham, Jonathan Paul
5 Sevenheck, Christian
5 Simpson, Carlos Tschudi
5 Thompson, Alan Matthew
4 Bernardara, Marcello
4 Carqueville, Nils
4 Diemer, Colin
4 Donovan, Will
4 Doran, Charles F.
4 Eyssidieux, Philippe
4 Galkin, Sergeĭ
4 Grama, Lino
4 Gritsenko, Valeriĭ Alekseevich
4 Gross, Andreas
4 Haiden, Fabian
4 Halpern-Leistner, Daniel
4 Ikeda, Akishi
4 Jockers, Hans
4 Kanazawa, Atsushi
4 Kikuta, Kohei
4 Kim, Jongmyeong
4 Kirk, Paul A.
4 Mochizuki, Takuro
4 Pădurariu, Tudor
4 Pascaleff, James
4 Pauksztello, David
4 Petracci, Andrea
4 Pomerleano, Daniel
4 Shaw, Kris
4 Sheridan, Nick
4 Shramov, Konstantin Aleksandrovich
4 Sosna, Pawel
4 Suárez-Serrato, Pablo
4 Tahar, Guillaume
4 Tu, Junwu
4 Van den Bergh, Michel
4 Vera, Ramón
4 Xu, Wan-Yuan
4 Zheng, Junling
4 Zhu, Xiaohua
3 Ballico, Edoardo
3 Barbacovi, Federico
3 Bogomolov, Fedor Alekseivich
3 Cacciatori, Sergio Luigi
3 Coates, Tom
3 Deliu, Dragos
3 Dimitrov, George
3 Dyckerhoff, Tobias
3 Elagin, Alexey
3 Endo, Hisaaki
3 Fang, Bohan
3 Fatighenti, Enrico
3 Felten, Simon
3 Fintushel, Ronald
3 Futaki, Masahiro
3 Gay, David T.
3 Gong, Cheng
3 Iwaki, Kohei
3 Iyama, Osamu
...and 727 more Authors
all top 5

Cited in 152 Serials

80 Advances in Mathematics
32 Communications in Mathematical Physics
28 Mathematische Zeitschrift
28 Geometry & Topology
26 Journal of Algebra
25 Selecta Mathematica. New Series
22 Compositio Mathematica
21 Duke Mathematical Journal
19 Transactions of the American Mathematical Society
17 Journal of Geometry and Physics
17 Inventiones Mathematicae
16 Manuscripta Mathematica
14 Journal of High Energy Physics
12 Journal of the European Mathematical Society (JEMS)
12 European Journal of Mathematics
11 Journal für die Reine und Angewandte Mathematik
11 Mathematische Annalen
10 Annales de l’Institut Fourier
10 Journal of Pure and Applied Algebra
10 Algebraic & Geometric Topology
9 Proceedings of the American Mathematical Society
9 International Journal of Mathematics
9 Journal of Algebraic Geometry
8 Bulletin of the London Mathematical Society
8 Memoirs of the American Mathematical Society
8 Geometric and Functional Analysis. GAFA
7 Russian Mathematical Surveys
7 Geometriae Dedicata
7 Journal of the Institute of Mathematics of Jussieu
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Letters in Mathematical Physics
6 Publications Mathématiques
6 Differential Geometry and its Applications
6 Journal of Topology
6 Forum of Mathematics, Sigma
5 Journal of the London Mathematical Society. Second Series
5 Pacific Journal of Mathematics
5 Topology and its Applications
5 Proceedings of the Steklov Institute of Mathematics
5 Kyoto Journal of Mathematics
4 Journal of Mathematical Physics
4 Proceedings of the London Mathematical Society. Third Series
4 Forum Mathematicum
4 Bulletin of the American Mathematical Society. New Series
4 Journal de l’École Polytechnique – Mathématiques
3 Mathematical Notes
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nuclear Physics. B
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Canadian Journal of Mathematics
3 Michigan Mathematical Journal
3 Nagoya Mathematical Journal
3 Osaka Journal of Mathematics
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Journal of the American Mathematical Society
3 International Journal of Algebra and Computation
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Algebraic Combinatorics
3 Izvestiya: Mathematics
3 Algebras and Representation Theory
3 Annals of Mathematics. Second Series
3 Communications in Contemporary Mathematics
3 Advances in Geometry
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Noncommutative Geometry
3 Quantum Topology
3 Arnold Mathematical Journal
3 Annales Henri Lebesgue
2 International Journal of Modern Physics A
2 Glasgow Mathematical Journal
2 Journal of Differential Geometry
2 Journal of the Mathematical Society of Japan
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Bulletin of the Korean Mathematical Society
2 Annals of Global Analysis and Geometry
2 Sugaku Expositions
2 IMRN. International Mathematics Research Notices
2 The Journal of Geometric Analysis
2 Proceedings of the National Academy of Sciences of the United States of America
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Sbornik: Mathematics
2 Taiwanese Journal of Mathematics
2 Annales Henri Poincaré
2 Journal of Algebra and its Applications
2 Oberwolfach Reports
2 Journal of Physics A: Mathematical and Theoretical
2 Algebra & Number Theory
2 Journal of Topology and Analysis
2 Journal of Commutative Algebra
2 EMS Surveys in Mathematical Sciences
2 Research in the Mathematical Sciences
2 Annals of \(K\)-Theory
2 Bollettino dell’Unione Matematica Italiana
2 Tunisian Journal of Mathematics
1 American Mathematical Monthly
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
...and 52 more Serials
all top 5

Cited in 38 Fields

546 Algebraic geometry (14-XX)
246 Differential geometry (53-XX)
142 Category theory; homological algebra (18-XX)
139 Several complex variables and analytic spaces (32-XX)
124 Manifolds and cell complexes (57-XX)
99 Associative rings and algebras (16-XX)
66 Quantum theory (81-XX)
33 Commutative algebra (13-XX)
31 Number theory (11-XX)
28 Algebraic topology (55-XX)
28 Global analysis, analysis on manifolds (58-XX)
26 Group theory and generalizations (20-XX)
19 Combinatorics (05-XX)
19 Nonassociative rings and algebras (17-XX)
19 Dynamical systems and ergodic theory (37-XX)
17 Functions of a complex variable (30-XX)
14 \(K\)-theory (19-XX)
13 Ordinary differential equations (34-XX)
10 Topological groups, Lie groups (22-XX)
10 Convex and discrete geometry (52-XX)
9 Relativity and gravitational theory (83-XX)
8 Partial differential equations (35-XX)
5 Functional analysis (46-XX)
5 Geometry (51-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 General topology (54-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-XX)
2 Operator theory (47-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year

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