## Found 165 Documents (Results 1–100)

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### Deformation of rational singularities and Hodge structure. (English)Zbl 1497.14018

MSC:  14D07 14B07 32S30
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### Cohomology of cluster varieties. I: Locally acyclic case. (English)Zbl 07489447

MSC:  13F60 14F40 14D07
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### Hodge theory of degenerations. I: Consequences of the decomposition theorem. (English)Zbl 1478.14024

MSC:  14D06 14D07
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### The Kuga-Satake construction under degeneration. (English)Zbl 1455.14018

MSC:  14D06 14D07 14D05
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### Geometric polarized log Hodge structures with a base of log rank one. (English)Zbl 1439.32074

MSC:  32S35 14D07 32G20
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### Period map of Triple coverings of $$\text{P}^2$$ and mixed Hodge structures. (English)Zbl 1435.32018

MSC:  32G20 33C65 14H42
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### Notes on the weak positivity theorems. (English)Zbl 1396.14032

Masuda, Kayo (ed.) et al., Algebraic varieties and automorphism groups. Proceedings of the workshop held at RIMS, Kyoto University, Kyoto, Japan, July 7–11, 2014. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-048-8/hbk). Advanced Studies in Pure Mathematics 75, 73-118 (2017).
MSC:  14J10 14D07 32G20
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### Deligne-Beilinson cohomology of affine groups. (English)Zbl 1379.14017

Ji, Lizhen (ed.), Hodge Theory and $$L^2$$-analysis. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-351-7/pbk). Advanced Lectures in Mathematics (ALM) 39, 377-418 (2017).
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### Extremal degenerations of polarized Hodge structures. (English)Zbl 1403.14027

Ji, Lizhen (ed.), Hodge Theory and $$L^2$$-analysis. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-351-7/pbk). Advanced Lectures in Mathematics (ALM) 39, 321-376 (2017).
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### Nilpotent cones and their representation theory. (English)Zbl 1379.14008

Ji, Lizhen (ed.), Hodge Theory and $$L^2$$-analysis. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-351-7/pbk). Advanced Lectures in Mathematics (ALM) 39, 151-205 (2017).
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### Feynman amplitudes and limits of heights. (English. Russian original)Zbl 1354.32012

Izv. Math. 80, No. 5, 813-848 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 5, 5-40 (2016).
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### On extensions of PVMHS and mixed Hodge modules. (English)Zbl 1448.32003

MSC:  32S35 14D07
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### Reduced limit period mappings and orbits in Mumford-Tate varieties. (English)Zbl 1360.32010

Kennedy, Gary (ed.) et al., Hodge theory and classical algebraic geometry. Conference on Hodge theory and classical algebraic geometry, Ohio State University, Columbus, OH, USA, May 13–15, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0990-6/pbk; 978-1-4704-2671-2/ebook). Contemporary Mathematics 647, 19-77 (2015).
MSC:  32G20 32S35 22E46
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### Geometric log Hodge structures on the standard log point. (English)Zbl 1332.32037

MSC:  32S35 14D07 32G20
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### 2-Jordan blocks for the eigenvalue $$\lambda = 1$$ of Yomdin-Lê surface singularities. (2-Blocs de Jordan pour la valeur propre $$\lambda = 1$$ des singularités de surface de type Yomdin-Lê.) (English. Abridged French version)Zbl 1330.14013

MSC:  14D07 32S45 32S25
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### The physics and the mixed Hodge structure of Feynman integrals. (English)Zbl 1321.81023

Donagi, Ron (ed.) et al., String-Math 2013. Selected papers based on the presentations at the conference, Stony Brook, NY, USA, June 17–21, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1051-3/hbk; 978-1-4704-1999-8/ebook). Proceedings of Symposia in Pure Mathematics 88, 161-194 (2014).
MSC:  81Q30 14D07
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### Some remarks on limit mixed Hodge structures and spectrum. (English)Zbl 1389.14005

MSC:  14D07 32S35 14F05 32S40
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### On SL(2)-orbit theorems. (English)Zbl 1311.32006

MSC:  32G20 14C30 58A14
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### Algebraicity of Hodge loci for variations of Hodge structure. (English)Zbl 1314.14017

Doran, Robert S. (ed.) et al., Hodge theory, complex geometry, and representation theory. NSF-CBMS regional conference in mathematics. Hodge theory, complex geometry, and representation theory, Fort Worth, TX, USA, June 18, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9415-6/pbk; 978-1-4704-1470-2/ebook). Contemporary Mathematics 608, 59-83 (2014).

### Hodge theory. Based on lectures delivered at the summer school on Hodge theory and related topics, Trieste, Italy, June 14 – July 2, 2010. (English)Zbl 1291.14004

Mathematical Notes (Princeton) 49. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16134-1/pbk). xvii, 589 p. (2014).

### Number of Jordan blocks of the maximal size for local monodromies. (English)Zbl 1300.32029

MSC:  32S40 32S35 14D07
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### Some remarks on the semipositivity theorems. (English)Zbl 1326.14018

MSC:  14D07 32G20
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### The zero locus of the infinitesimal invariant. (English)Zbl 1302.14009

Laza, Radu (ed.) et al., Arithmetic and geometry of $$K3$$ surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 589-602 (2013).
MSC:  14D07 32G20 14K30
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### Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures. (English)Zbl 1246.14018

MSC:  14D07 14D15 14C30
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### Mixed Hodge structures associated to geometric variations. (English)Zbl 1221.14009

Srinivas, V. (ed.), Cycles, motives and Shimura varieties. Proceedings of the international colloquium, Mumbai, India, January 3–12, 2008. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-8487-085-5/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 21, 1-34 (2010).
MSC:  14C30 32S35
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### Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology. (English)Zbl 1226.14008

MSC:  14B99 14D07 14D05
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### Moduli of log mixed Hodge structures. (English)Zbl 1209.14008

MSC:  14C30 14D07 32G20
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### The Hodge theoretic fundamental group and its cohomology. (English)Zbl 1209.14016

Akhtar, Reza (ed.) et al., The geometry of algebraic cycles. Proceedings of the conference, Columbus, OH, USA, March 25–29, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5191-3/pbk). Clay Mathematics Proceedings 9, 3-22 (2010).
MSC:  14F35 14C30 20G05
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### Motivicity of the mixed Hodge structure of some degenerations of curves. (English)Zbl 1202.32025

MSC:  32S40 32G20
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### A non-archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures. (English)Zbl 1195.14014

Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Yu. I. Manin on the occasion of his 70th birthday. Vol. I. Boston, MA: Birkhäuser (ISBN 978-0-8176-4744-5/hbk; 978-0-8176-4745-2/ebook). Progress in Mathematics 269, 49-67 (2009).
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### Zero loci of admissible normal functions with torsion singularities. (English)Zbl 1187.14015

MSC:  14D07 32G20 14D05
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### The zero locus of an admissible normal function. (English)Zbl 1184.32004

MSC:  32G20 14D07 14D05
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### Classifying spaces of degenerating mixed Hodge structures. I: Borel-Serre spaces. (English)Zbl 1179.14008

Miwa, Tetsuji (ed.) et al., Algebraic analysis and around in honor of Professor Masaki Kashiwara’s 60th birthday. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-51-8/hbk). Advanced Studies in Pure Mathematics 54, 187-222 (2009).
MSC:  14C30 14D07 32G20

### Infinitesimal variations of Hodge structure at infinity. (English)Zbl 1168.14008

MSC:  14D07 32G20
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### Topology of algebraic morphisms. (English)Zbl 1163.14007

Brasselet, Jean-Paul (ed.) et al., Singularities I. Algebraic and analytic aspects. Proceedings of the international conference “School and workshop on the geometry and topology of singularities” in honor of the 60th birthday of Lê Dũng Tráng, Cuernavaca, Mexico, January 8–26, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4458-8/pbk). Contemporary Mathematics 474, 25-84 (2008).

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### Calculation of mixed Hodge structures, Gauss-Manin connections and Picard-Fuchs equations. (English)Zbl 1117.14014

Brasselet, Jean-Paul (ed.) et al., Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19–23, 2004. Basel: Birkhäuser (ISBN 3-7643-7775-5/hbk). Trends in Mathematics, 247-262 (2007).
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### Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $$D$$-modules. II. (English)Zbl 1259.32006

Mem. Am. Math. Soc. 870, 325-565 p. (2007).
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### Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $$D$$-modules. I. (English)Zbl 1259.32005

Mem. Am. Math. Soc. 869, 324 p. (2007).
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### $$\text{SL}_2$$-orbits and degenerations of mixed Hodge structure. (English)Zbl 1107.14010

MSC:  14D07 14C30
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### An introduction to motives. Pure motives, mixed motives, periods. (Une introduction aux motifs. Motifs purs, motifs mixtes, périodes.) (French)Zbl 1060.14001

Panoramas et Synthèses 17. Paris: Société Mathématique de France (ISBN 2-85629-164-3/pbk). xi, 261 p. (2004).

### Periods of limit mixed Hodge structures. (English)Zbl 1043.32009

Jerison, David (ed.) et al., Current developments in mathematics, 2002. Proceedings of the joint seminar by MIT and Harvard, Cambridge, MA, 2002. Somerville, MA: International Press (ISBN 1-57146-102-7/hbk). 113-133 (2003).
MSC:  32G20 32S35 14D07
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### Multiple polylogarithms: analytic continuation, monodromy, and variations of mixed Hodge structures. (English)Zbl 1058.32005

Chern, Shiing-Shen (ed.) et al., Contemporary trends in algebraic geometry and algebraic topology. Proceedings of the Wei-Liang Chow and Kuo-Tsai Chen memorial conference on algebraic geometry and algebraic topology, Tianjin, China, October 9–13, 2000. River Edge, NJ: World Scientific (ISBN 981-02-4954-3/hbk). Nankai Tracts Math. 5, 167-193 (2002).

### Infinitesimal logarithmic Torelli problem for degenerating hypersurfaces in $$\mathbb{P}^n$$. Appendix by Atsushi Ikeda. (English)Zbl 1063.14011

Usui, Sampei (ed.) et al., Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Tokyo: Mathematical Society of Japan (ISBN 4-931469-20-5/hbk). Adv. Stud. Pure Math. 36, 401-434; appendix 435-442 (2002).
MSC:  14C34 32G20 32S35

### Hodge theory and complex algebraic geometry. (Théorie de Hodge et géométrie algébrique complexe.) (French)Zbl 1032.14001

Cours Spécialisés (Paris). 10. Paris: Société Mathématique de France. viii, 595 p. (2002).

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### Advances in moduli theory. Transl. from the Japanese by Yuji Shimizu and Kenji Ueno. (English)Zbl 0987.14001

Translations of Mathematical Monographs. 206. Providence, RI: American Mathematical Society (AMS). xix, 300 p. (2002).

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### Intermediate Jacobians and Hodge structures of moduli spaces. (English)Zbl 1002.14008

MSC:  14H40 14D07 14H10
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### Resolving mixed Hodge modules on configuration spaces. (English)Zbl 0986.14005

MSC:  14D07 14H10 11F12
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### Recovery of vanishing cycles by log geometry: Case of several variables. (English)Zbl 1015.14006

Eisenbud, David (ed.), Commutative algebra, algebraic geometry, and computational methods. Proceedings of the conference on algebraic geometry, commutative algebra, and computation, Hanoi, Vietnam, 1996. Singapore: Springer. 135-143 (1999).
MSC:  14D07 14C25 32G20

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