## Altmann, Klaus

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 Author ID: altmann.klaus Published as: Altmann, Klaus Homepage: http://www.math.fu-berlin.de/altmann/ External Links: MGP · ORCID · Wikidata · dblp · GND
 Documents Indexed: 40 Publications since 1985 3 Contributions as Editor Reviewing Activity: 62 Reviews Co-Authors: 33 Co-Authors with 30 Joint Publications 776 Co-Co-Authors
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### Co-Authors

 13 single-authored 3 Batyrev, Victor V. 3 Petersen, Lars 2 Christophersen, Jan Arthur 2 Hausen, Jürgen 2 Ilten, Nathan Owen 2 Karshon, Yael 2 Kastner, Lars 2 Süss, Hendrik 2 van Straten, Duco 1 Altmann, Doris 1 Altmann, Martin 1 Bigdeli, Mina 1 Buczyński, Jarosław 1 Farkas, Gavril 1 Filip, Matej 1 Hein, Georg 1 Herzog, Jürgen 1 Hille, Lutz 1 Kiritchenko, Valentina 1 Kollár, János 1 Lu, Dancheng 1 Nill, Benjamin 1 Ploog, David 1 Schwentner, Sabine 1 Sletsjøe, Arne B. 1 Stevens, Jan 1 Sturmfels, Bernd 1 Teissier, Bernard 1 Vollmert, Robert 1 Wiercinska, Izolda 1 Winz, Anna-Lena 1 Wiśńiewski, Jarosław Antoni 1 Witt, Frederik
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### Serials

 7 Journal of Pure and Applied Algebra 3 Inventiones Mathematicae 3 Michigan Mathematical Journal 3 Oberwolfach Reports 2 Journal of Algebra 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Tôhoku Mathematical Journal. Second Series 1 Discrete Mathematics 1 Beiträge zur Algebra und Geometrie 1 Compositio Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Semigroup Forum 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Journal of Algebraic Combinatorics 1 Mathematical Research Letters 1 Izvestiya: Mathematics 1 Transformation Groups 1 Algebras and Representation Theory 1 Pure and Applied Mathematics Quarterly
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### Fields

 40 Algebraic geometry (14-XX) 11 Commutative algebra (13-XX) 9 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 307 times in 176 Documents Cited by Year
Polyhedral divisors and algebraic torus actions. Zbl 1193.14060
Altmann, Klaus; Hausen, Jürgen
2006
Gluing affine torus actions via divisorial fans. Zbl 1159.14025
Altmann, Klaus; Hausen, Jürgen; Süss, Hendrik
2008
The versal deformation of an isolated toric Gorenstein singularity. Zbl 0894.14025
Altmann, Klaus
1997
The geometry of $$T$$-varieties. Zbl 1316.14001
Altmann, Klaus; Ilten, Nathan Owen; Petersen, Lars; Süß, Hendrik; Vollmert, Robert
2012
Minkowski sums and homogeneous deformations of toric varieties. Zbl 0842.14037
Altmann, Klaus
1995
Strong exceptional sequences provided by quivers. Zbl 0951.16006
Altmann, Klaus; Hille, Lutz
1999
One parameter families containing three dimensional toric Gorenstein singularities. Zbl 0960.14028
Altmann, Klaus
2000
Deforming Stanley-Reisner schemes. Zbl 1203.13022
Altmann, Klaus; Christophersen, Jan Arthur
2010
Infinitesimal deformations and obstructions for toric singularities. Zbl 0922.14035
Altmann, Klaus
1997
The graph of monomial ideals. Zbl 1088.13012
Altmann, Klaus; Sturmfels, Bernd
2005
Cotangent cohomology of Stanley-Reisner rings. Zbl 1071.13008
Altmann, Klaus; Christophersen, Jan Arthur
2004
Algebraically rigid simplicial complexes and graphs. Zbl 1430.13032
Altmann, Klaus; Bigdeli, Mina; Herzog, Jürgen; Lu, Dancheng
2016
Cox rings of rational complexity-one $$T$$-varieties. Zbl 1251.14032
Altmann, Klaus; Petersen, Lars
2012
A fansy divisor on $$\overline {M}_{0,n}$$. Zbl 1143.14038
Altmann, Klaus; Hein, Georg
2008
Computation of the vector space $$T^ 1$$ for affine toric varieties. Zbl 0845.14027
Altmann, Klaus
1994
P-resolutions of cyclic quotients from the toric viewpoint. Zbl 0914.14017
Altmann, Klaus
1998
André-Quillen cohomology of monoid algebras. Zbl 0918.13007
Altmann, Klaus; Sletsjøe, Arne B.
1998
Equisingular deformations of isolated 2-dimensional hypersurface singularities. Zbl 0635.14003
Altmann, Klaus
1987
Polyhedral divisors of Cox rings. Zbl 1223.14006
Altmann, Klaus; Wiśniewski, Jarosław
2011
The chain property for the associated primes of $$\mathcal A$$-graded ideals. Zbl 1055.13014
Altmann, Klaus
2000
Merging divisorial with colored fans. Zbl 1432.14040
Altmann, Klaus; Kiritchenko, Valentina; Petersen, Lars
2015
The dualizing sheaf on first-order deformations of toric surface singularities. Zbl 1422.14006
Altmann, Klaus; Kollár, János
2019
The polyhedral Hodge number $$h^{2,1}$$ and vanishing of obstructions. Zbl 1017.52005
Altmann, Klaus; van Straten, Duco
2000
Negative deformations of toric singularities that are smooth in codimension two. Zbl 1315.14003
Altmann, Klaus; Kastner, Lars
2013
Immaculate line bundles on toric varieties. Zbl 1456.14061
Altmann, Klaus; Buczyński, Jarosław; Kastner, Lars; Winz, Anna-Lena
2020
Toric co-Higgs sheaves. Zbl 1472.14055
Altmann, Klaus; Witt, Frederik
2021
Deformations of affine torus varieties. Zbl 0789.14006
Altmann, Klaus
1993
Moduli and deformations. Zbl 1411.14009
Altmann, Klaus; Farkas, Gavril
2018
Flow polytopes and the graph of reflexive polytopes. Zbl 1207.52014
Altmann, Klaus; Nill, Benjamin; Schwentner, Sabine; Wiercinska, Izolda
2009
Estimating vaccine coverage by using computer algebra. Zbl 0951.92023
Altmann, Doris; Altmann, Klaus
2000
Torsion of differentials on toric varieties. Zbl 0868.14025
Altmann, Klaus
1996
Smoothing of quiver varieties. Zbl 1181.14046
Altmann, Klaus; van Straten, Duco
2009
Toric co-Higgs sheaves. Zbl 1472.14055
Altmann, Klaus; Witt, Frederik
2021
Immaculate line bundles on toric varieties. Zbl 1456.14061
Altmann, Klaus; Buczyński, Jarosław; Kastner, Lars; Winz, Anna-Lena
2020
The dualizing sheaf on first-order deformations of toric surface singularities. Zbl 1422.14006
Altmann, Klaus; Kollár, János
2019
Moduli and deformations. Zbl 1411.14009
Altmann, Klaus; Farkas, Gavril
2018
Algebraically rigid simplicial complexes and graphs. Zbl 1430.13032
Altmann, Klaus; Bigdeli, Mina; Herzog, Jürgen; Lu, Dancheng
2016
Merging divisorial with colored fans. Zbl 1432.14040
Altmann, Klaus; Kiritchenko, Valentina; Petersen, Lars
2015
Negative deformations of toric singularities that are smooth in codimension two. Zbl 1315.14003
Altmann, Klaus; Kastner, Lars
2013
The geometry of $$T$$-varieties. Zbl 1316.14001
Altmann, Klaus; Ilten, Nathan Owen; Petersen, Lars; Süß, Hendrik; Vollmert, Robert
2012
Cox rings of rational complexity-one $$T$$-varieties. Zbl 1251.14032
Altmann, Klaus; Petersen, Lars
2012
Polyhedral divisors of Cox rings. Zbl 1223.14006
Altmann, Klaus; Wiśniewski, Jarosław
2011
Deforming Stanley-Reisner schemes. Zbl 1203.13022
Altmann, Klaus; Christophersen, Jan Arthur
2010
Flow polytopes and the graph of reflexive polytopes. Zbl 1207.52014
Altmann, Klaus; Nill, Benjamin; Schwentner, Sabine; Wiercinska, Izolda
2009
Smoothing of quiver varieties. Zbl 1181.14046
Altmann, Klaus; van Straten, Duco
2009
Gluing affine torus actions via divisorial fans. Zbl 1159.14025
Altmann, Klaus; Hausen, Jürgen; Süss, Hendrik
2008
A fansy divisor on $$\overline {M}_{0,n}$$. Zbl 1143.14038
Altmann, Klaus; Hein, Georg
2008
Polyhedral divisors and algebraic torus actions. Zbl 1193.14060
Altmann, Klaus; Hausen, Jürgen
2006
The graph of monomial ideals. Zbl 1088.13012
Altmann, Klaus; Sturmfels, Bernd
2005
Cotangent cohomology of Stanley-Reisner rings. Zbl 1071.13008
Altmann, Klaus; Christophersen, Jan Arthur
2004
One parameter families containing three dimensional toric Gorenstein singularities. Zbl 0960.14028
Altmann, Klaus
2000
The chain property for the associated primes of $$\mathcal A$$-graded ideals. Zbl 1055.13014
Altmann, Klaus
2000
The polyhedral Hodge number $$h^{2,1}$$ and vanishing of obstructions. Zbl 1017.52005
Altmann, Klaus; van Straten, Duco
2000
Estimating vaccine coverage by using computer algebra. Zbl 0951.92023
Altmann, Doris; Altmann, Klaus
2000
Strong exceptional sequences provided by quivers. Zbl 0951.16006
Altmann, Klaus; Hille, Lutz
1999
P-resolutions of cyclic quotients from the toric viewpoint. Zbl 0914.14017
Altmann, Klaus
1998
André-Quillen cohomology of monoid algebras. Zbl 0918.13007
Altmann, Klaus; Sletsjøe, Arne B.
1998
The versal deformation of an isolated toric Gorenstein singularity. Zbl 0894.14025
Altmann, Klaus
1997
Infinitesimal deformations and obstructions for toric singularities. Zbl 0922.14035
Altmann, Klaus
1997
Torsion of differentials on toric varieties. Zbl 0868.14025
Altmann, Klaus
1996
Minkowski sums and homogeneous deformations of toric varieties. Zbl 0842.14037
Altmann, Klaus
1995
Computation of the vector space $$T^ 1$$ for affine toric varieties. Zbl 0845.14027
Altmann, Klaus
1994
Deformations of affine torus varieties. Zbl 0789.14006
Altmann, Klaus
1993
Equisingular deformations of isolated 2-dimensional hypersurface singularities. Zbl 0635.14003
Altmann, Klaus
1987
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### Cited by 213 Authors

 20 Altmann, Klaus 15 Ilten, Nathan Owen 11 Süss, Hendrik 9 Langlois, Kevin 9 Liendo, Alvaro 6 Hausen, Jürgen 5 Arzhantsev, Ivan Vladimirovich 5 Christophersen, Jan Arthur 5 Petracci, Andrea 4 Filip, Matej 4 Hille, Lutz 4 Petitjean, Charlie 4 Wrobel, Milena 3 Fløystad, Gunnar 3 Herzog, Jürgen 3 Petersen, Lars 3 Prince, Thomas M. 2 Agustin Vicente, Marta 2 Bossinger, Lara 2 Bourget, Antoine 2 Boyer, Charles P. 2 Braun, Lukas 2 Brion, Michel 2 Chiaselotti, Giampiero 2 Conlon, Ronan J. 2 Dubouloz, Adrien 2 Eckhard, Julius 2 Franzen, Hans 2 Hein, Hans-Joachim 2 Infusino, Federico G. 2 Kruglov, O. K. 2 Laface, Antonio 2 Lau, Siu-Cheong 2 Li, Chi 2 Maclagan, Diane 2 Mavlyutov, Anvar R. 2 Perepechko, Alexander 2 Rossi, Michele 2 Schäfer-Nameki, Sakura 2 Sturmfels, Bernd 2 Székelyhidi, Gábor 2 Taylor, Washington IV 2 van Beest, Marieke 2 van Straten, Duco 2 Vollmert, Robert 2 Xu, Chenyang 1 Abderrahmane, Ould M. 1 Achinger, Piotr 1 Akhtar, Mohammad E. 1 Aleksandrov, Aleksandr Grigor’evich 1 Alexeev, Valery A. 1 Allman, Elizabeth S. 1 Almousa, Ayah 1 Altmann, Martin 1 Arai, Yusuke 1 Ballico, Edoardo 1 Bejleri, Dori 1 Bender, Matías R. 1 Bigdeli, Mina 1 Biswas, Indranil 1 Blum, Harold 1 Broomhead, Nathan T. 1 Brown, Gavin Dennis 1 Cable, Jacob 1 Cabrera, Santiago 1 Cachazo, Freddy 1 Cavey, Daniel 1 Chindris, Calin 1 Chuvashova, Olga V. 1 Coates, Tom 1 Collins, Tristan Clifford 1 Conca, Aldo 1 Corti, Alessio 1 Costa, Laura 1 Craw, Alastair 1 Cvetič, Mirjam 1 de la Peña, José Antonio 1 Dey, Arijit 1 Domokos, Mátyás 1 Doran, Charles F. 1 Echizenya, Ayaka 1 Fazzi, Marco 1 Fiol, Bartomeu 1 Francisco, Christopher A. 1 Fumasoli, Stefan 1 Gillard, Pierre-Alexandre 1 Greve, Bjørn Møller 1 Gustavsen, Trond Stølen 1 Hà, Huy Tài 1 Hacking, Paul 1 Halpern-Leistner, Daniel 1 Halverson, James 1 Hanany, Amihay 1 Hättig, Daniel 1 Headrick, Matthew 1 Hein, Georg 1 Hering, Milena 1 Herzog, Christopher P. 1 Heuberger, Liana 1 Higashitani, Akihiro ...and 113 more Authors
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### Cited in 78 Serials

 15 Journal of Pure and Applied Algebra 14 Journal of Algebra 7 Manuscripta Mathematica 7 Mathematische Zeitschrift 7 Transformation Groups 6 Advances in Mathematics 6 Michigan Mathematical Journal 6 Journal of High Energy Physics 5 Compositio Mathematica 5 Journal of Algebraic Geometry 4 Communications in Algebra 4 Mathematische Annalen 4 European Journal of Mathematics 3 Nuclear Physics. B 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Tôhoku Mathematical Journal. Second Series 2 Beiträge zur Algebra und Geometrie 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Linear Algebra and its Applications 2 Selecta Mathematica. New Series 2 Geometry & Topology 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Le Matematiche 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 The Electronic Journal of Combinatorics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Revista Matemática Complutense 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Complex Variables and Elliptic Equations 1 Proyecciones 1 Advances in High Energy Physics 1 Journal of Commutative Algebra 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Complex Manifolds 1 Transactions of the American Mathematical Society. Series B 1 Journal of Combinatorial Algebra 1 Peking Mathematical Journal
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### Cited in 27 Fields

 155 Algebraic geometry (14-XX) 52 Commutative algebra (13-XX) 19 Several complex variables and analytic spaces (32-XX) 14 Differential geometry (53-XX) 13 Convex and discrete geometry (52-XX) 10 Combinatorics (05-XX) 10 Quantum theory (81-XX) 8 Associative rings and algebras (16-XX) 5 Category theory; homological algebra (18-XX) 5 Group theory and generalizations (20-XX) 4 Relativity and gravitational theory (83-XX) 3 Number theory (11-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

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