Dobrokhotov, S. Yu.; Tsvetkova, A. V. Global asymptotics for functions of parabolic cylinder and solutions of the Schrödinger equation with a potential in the form of a nonsmooth double well. (English) Zbl 1522.81078 Russ. J. Math. Phys. 30, No. 1, 46-61 (2023). MSC: 81Q05 57R67 33C10 14M25 81Q20 35C20 35P10 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{A. V. Tsvetkova}, Russ. J. Math. Phys. 30, No. 1, 46--61 (2023; Zbl 1522.81078) Full Text: DOI
Lin, Kuei-Nuan; Hsiao, Jen-Chieh On Cohen–Macaulay modules over the Weyl algebra. arXiv:2309.05864 Preprint, arXiv:2309.05864 [math.AG] (2023). MSC: 13N10 16E99 13C14 14M25 16W70 32C38 33C70 13D07 BibTeX Cite \textit{K.-N. Lin} and \textit{J.-C. Hsiao}, ``On Cohen--Macaulay modules over the Weyl algebra'', Preprint, arXiv:2309.05864 [math.AG] (2023) Full Text: arXiv OA License
Han, Zengrui Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms. arXiv:2305.12241 Preprint, arXiv:2305.12241 [math.AG] (2023). MSC: 14M25 14J32 14J33 33C99 BibTeX Cite \textit{Z. Han}, ``Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms'', Preprint, arXiv:2305.12241 [math.AG] (2023) Full Text: arXiv OA License
Berkesch, Christine; Fernández-Fernández, María-Cruz A sharp bound for hypergeometric rank in dimension three. arXiv:2301.04569 Preprint, arXiv:2301.04569 [math.AG] (2023). MSC: 13N10 32C38 33C70 14M25 BibTeX Cite \textit{C. Berkesch} and \textit{M.-C. Fernández-Fernández}, ``A sharp bound for hypergeometric rank in dimension three'', Preprint, arXiv:2301.04569 [math.AG] (2023) Full Text: arXiv OA License
Ivashkevich, A. V.; Buryy, A. V.; Ovsiyuk, E. M.; Chichurin, A. S.; Red’kov, V. M. Generalized helicity operator for a spin 2 particle in the presence of an external uniform magnetic field. (English) Zbl 07749759 Nonlinear Phenom. Complex Syst., Minsk 25, No. 2, 104-121 (2022). MSC: 81V73 14M25 22E70 78A30 35P15 81Q80 33C15 47A68 33C10 34C07 PDFBibTeX XMLCite \textit{A. V. Ivashkevich} et al., Nonlinear Phenom. Complex Syst., Minsk 25, No. 2, 104--121 (2022; Zbl 07749759) Full Text: DOI
Berkesch, Christine; Fernández-Fernández, María-Cruz On the rank of an \(A\)-hypergeometric \(D\)-module versus the normalized volume of \(A\). (English) Zbl 1520.13041 Bull. Lond. Math. Soc. 54, No. 1, 182-192 (2022). MSC: 13N10 32C38 33C70 14M25 PDFBibTeX XMLCite \textit{C. Berkesch} and \textit{M.-C. Fernández-Fernández}, Bull. Lond. Math. Soc. 54, No. 1, 182--192 (2022; Zbl 1520.13041) Full Text: DOI arXiv
Goto, Yoshiaki; Matsubara-Heo, Saiei-Jaeyeong Homology and cohomology intersection numbers of GKZ systems. (English) Zbl 1507.14073 Indag. Math., New Ser. 33, No. 3, 546-580 (2022). MSC: 14M25 33C70 14C17 PDFBibTeX XMLCite \textit{Y. Goto} and \textit{S.-J. Matsubara-Heo}, Indag. Math., New Ser. 33, No. 3, 546--580 (2022; Zbl 1507.14073) Full Text: DOI arXiv
Beukers, Frits; Vlasenko, Masha Dwork crystals. I. (English) Zbl 1492.14039 Int. Math. Res. Not. 2021, No. 12, 8807-8844 (2021). Reviewer: B. Z. Moroz (Bonn) MSC: 14G20 11F30 11F85 11S80 11G25 14M25 14L05 32P05 33C20 PDFBibTeX XMLCite \textit{F. Beukers} and \textit{M. Vlasenko}, Int. Math. Res. Not. 2021, No. 12, 8807--8844 (2021; Zbl 1492.14039) Full Text: DOI arXiv
Masternak, Mateusz Newton diagrams and the geometric degree of a polynomial mapping of \(\mathbf{C}^2\). (English) Zbl 1483.14021 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 211-216 (2021). MSC: 14E05 52B20 14M25 33C70 PDFBibTeX XMLCite \textit{M. Masternak}, in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 211--216 (2021; Zbl 1483.14021) Full Text: DOI
Borisov, Lev; Han, Zengrui; Wang, Chengxi On duality of certain GKZ hypergeometric systems. (English) Zbl 1476.13024 Asian J. Math. 25, No. 1, 65-88 (2021). Reviewer: Hulya Arguz (London) MSC: 13D09 14J32 14J33 14M25 33C99 PDFBibTeX XMLCite \textit{L. Borisov} et al., Asian J. Math. 25, No. 1, 65--88 (2021; Zbl 1476.13024) Full Text: DOI arXiv
Artamonov, D. V. Antisymmetrization of the Gel’fand-Kapranov-Zelevinskii systems. (English. Russian original) Zbl 1498.33013 J. Math. Sci., New York 255, No. 5, 535-542 (2021); translation from Probl. Mat. Anal. 109, 3-9 (2021). MSC: 33C80 14M25 17B15 PDFBibTeX XMLCite \textit{D. V. Artamonov}, J. Math. Sci., New York 255, No. 5, 535--542 (2021; Zbl 1498.33013); translation from Probl. Mat. Anal. 109, 3--9 (2021) Full Text: DOI
Reichelt, Thomas; Schulze, Mathias; Sevenheck, Christian; Walther, Uli Algebraic aspects of hypergeometric differential equations. (English) Zbl 1468.14042 Beitr. Algebra Geom. 62, No. 1, 137-203 (2021). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 33C70 14M25 32C38 14J33 14C30 13N10 PDFBibTeX XMLCite \textit{T. Reichelt} et al., Beitr. Algebra Geom. 62, No. 1, 137--203 (2021; Zbl 1468.14042) Full Text: DOI arXiv
Kononov, Ya.; Okounkov, Andreĭ Yur’evich; Osinenko, A. The 2-leg vertex in \(K\)-theoretic DT theory. (English) Zbl 1467.14133 Commun. Math. Phys. 382, No. 3, 1579-1599 (2021). MSC: 14N35 14C35 19L47 33C80 14M25 14F08 PDFBibTeX XMLCite \textit{Ya. Kononov} et al., Commun. Math. Phys. 382, No. 3, 1579--1599 (2021; Zbl 1467.14133) Full Text: DOI arXiv
Lee, Tsung-Ju; Zhang, Dingxin \(A\)-hypergeometric systems and relative cohomology. (English) Zbl 1460.14049 Int. J. Math. 31, No. 13, Article ID 2050113, 21 p. (2020). MSC: 14F10 14M25 14D07 14D05 33C70 PDFBibTeX XMLCite \textit{T.-J. Lee} and \textit{D. Zhang}, Int. J. Math. 31, No. 13, Article ID 2050113, 21 p. (2020; Zbl 1460.14049) Full Text: DOI arXiv
Kashaev, Rinat; Sergeev, Sergey On the spectrum of the local \(\mathbb{P}^2\) mirror curve. (English) Zbl 1454.81083 Ann. Henri Poincaré 21, No. 11, 3479-3497 (2020). MSC: 81Q10 14J33 14M25 14J32 81Q40 14H70 39A13 33E30 PDFBibTeX XMLCite \textit{R. Kashaev} and \textit{S. Sergeev}, Ann. Henri Poincaré 21, No. 11, 3479--3497 (2020; Zbl 1454.81083) Full Text: DOI arXiv
Berkesch, Christine; Fernández-Fernández, María-Cruz Characteristic cycles and Gevrey series solutions of \(A\)-hypergeometric systems. (English) Zbl 1442.13087 Algebra Number Theory 14, No. 2, 323-347 (2020). MSC: 13N10 13F65 14M25 32C38 33C70 PDFBibTeX XMLCite \textit{C. Berkesch} and \textit{M.-C. Fernández-Fernández}, Algebra Number Theory 14, No. 2, 323--347 (2020; Zbl 1442.13087) Full Text: DOI arXiv
Berkesch, Christine; Matusevich, Laura Felicia; Walther, Uli On normalized Horn systems. (English) Zbl 1441.14064 Collect. Math. 71, No. 2, 279-286 (2020). Reviewer: Timur Sadykov (Moscow) MSC: 14F10 14L30 33C70 13N10 14M25 32C38 PDFBibTeX XMLCite \textit{C. Berkesch} et al., Collect. Math. 71, No. 2, 279--286 (2020; Zbl 1441.14064) Full Text: DOI arXiv
Fernández-Fernández, María-Cruz Gevrey and formal Nilsson solutions of \(A\)-hypergeometric systems. (English) Zbl 1476.14047 J. Pure Appl. Algebra 224, No. 8, Article ID 106350, 14 p. (2020). MSC: 14F10 13N10 33C70 14M25 32C38 PDFBibTeX XMLCite \textit{M.-C. Fernández-Fernández}, J. Pure Appl. Algebra 224, No. 8, Article ID 106350, 14 p. (2020; Zbl 1476.14047) Full Text: DOI arXiv
Giard, Antoine Mahler measure of a non-tempered Weierstrass form. (English) Zbl 1445.11122 J. Number Theory 209, 225-245 (2020). Reviewer: Riccardo Pengo (København) MSC: 11R06 11F67 11G05 11G50 14M25 19D55 19F27 33E05 PDFBibTeX XMLCite \textit{A. Giard}, J. Number Theory 209, 225--245 (2020; Zbl 1445.11122) Full Text: DOI
Forsgård, Jens; Matusevich, Laura Felicia; Sobieska, Aleksandra On transformations of \(A\)-hypergeometric functions. (English) Zbl 1440.33014 Funkc. Ekvacioj, Ser. Int. 62, No. 3, 319-336 (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C70 14M25 32A17 PDFBibTeX XMLCite \textit{J. Forsgård} et al., Funkc. Ekvacioj, Ser. Int. 62, No. 3, 319--336 (2019; Zbl 1440.33014) Full Text: DOI arXiv
Steiner, Avi Dualizing, projecting, and restricting GKZ systems. (English) Zbl 1419.14023 J. Pure Appl. Algebra 223, No. 12, 5215-5231 (2019). MSC: 14F10 14M25 33C60 32S35 32C38 PDFBibTeX XMLCite \textit{A. Steiner}, J. Pure Appl. Algebra 223, No. 12, 5215--5231 (2019; Zbl 1419.14023) Full Text: DOI arXiv
Reichelt, Thomas; Walther, Uli Gauß-Manin systems of families of Laurent polynomials and \(A\)-hypergeometric systems. (English) Zbl 1441.13062 Commun. Algebra 47, No. 6, 2503-2524 (2019). MSC: 13N10 14M25 32C38 32S40 33C70 14F10 PDFBibTeX XMLCite \textit{T. Reichelt} and \textit{U. Walther}, Commun. Algebra 47, No. 6, 2503--2524 (2019; Zbl 1441.13062) Full Text: DOI arXiv
Esterov, Alexander; Takeuchi, Kiyoshi On vanishing theorems for local systems associated to Laurent polynomials. (English) Zbl 1408.14161 Nagoya Math. J. 231, 1-22 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14M25 32S22 32S60 33C70 52C35 PDFBibTeX XMLCite \textit{A. Esterov} and \textit{K. Takeuchi}, Nagoya Math. J. 231, 1--22 (2018; Zbl 1408.14161) Full Text: DOI arXiv
Haldane, F. D. M. A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus. (English) Zbl 1394.81117 J. Math. Phys. 59, No. 7, 071901, 5 p. (2018). MSC: 81Q05 81Q10 81V70 78A35 33E05 11M36 14M25 PDFBibTeX XMLCite \textit{F. D. M. Haldane}, J. Math. Phys. 59, No. 7, 071901, 5 p. (2018; Zbl 1394.81117) Full Text: DOI arXiv
Berkesch, Christine; Forsgård, Jens; Matusevich, Laura Felicia On the parametric behavior of \(A\)-hypergeometric series. (English) Zbl 1392.33009 Trans. Am. Math. Soc. 370, No. 6, 4089-4109 (2018). Reviewer: Timur Sadykov (Moscow) MSC: 33C70 14M25 32A10 52B20 PDFBibTeX XMLCite \textit{C. Berkesch} et al., Trans. Am. Math. Soc. 370, No. 6, 4089--4109 (2018; Zbl 1392.33009) Full Text: DOI arXiv
Dunkl, Charles F. Vector-valued Jack polynomials and wavefunctions on the torus. (English) Zbl 1369.81031 J. Phys. A, Math. Theor. 50, No. 24, Article ID 245201, 21 p. (2017). MSC: 81Q10 81V70 20C30 14M25 33C50 81Q35 81S05 PDFBibTeX XMLCite \textit{C. F. Dunkl}, J. Phys. A, Math. Theor. 50, No. 24, Article ID 245201, 21 p. (2017; Zbl 1369.81031) Full Text: DOI arXiv
Berkesch Zamaere, Christine; Forsgård, Jens; Matusevich, Laura Felicia Hypergeometric functions for projective toric curves. (English) Zbl 1350.32006 Adv. Math. 300, 835-867 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 32A17 33C70 14M25 14F10 PDFBibTeX XMLCite \textit{C. Berkesch Zamaere} et al., Adv. Math. 300, 835--867 (2016; Zbl 1350.32006) Full Text: DOI arXiv
Sadykov, T. M.; Tanabé, S. Maximally reducible monodromy of bivariate hypergeometric systems. (English. Russian original) Zbl 1347.33036 Izv. Math. 80, No. 1, 221-262 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 235-280 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C70 14M25 32C38 32D15 32S40 35N10 57M05 PDFBibTeX XMLCite \textit{T. M. Sadykov} and \textit{S. Tanabé}, Izv. Math. 80, No. 1, 221--262 (2016; Zbl 1347.33036); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 1, 235--280 (2016) Full Text: DOI arXiv
Treibich, Armando Systems of polynomial equations defining hyperelliptic \(d\)-osculating covers. (English. Russian original) Zbl 1359.14032 Funct. Anal. Appl. 49, No. 1, 40-49 (2015); translation from Funkts. Anal. Prilozh. 49, No. 1, 49-61 (2015). Reviewer: Shigeki Matsutani (Nagasaki) MSC: 14H52 14H55 33E05 13N10 14M25 PDFBibTeX XMLCite \textit{A. Treibich}, Funct. Anal. Appl. 49, No. 1, 40--49 (2015; Zbl 1359.14032); translation from Funkts. Anal. Prilozh. 49, No. 1, 49--61 (2015) Full Text: DOI
Berkesch Zamaere, Christine; Matusevich, Laura Felicia; Walther, Uli Singularities and holonomicity of binomial \(D\)-modules. (English) Zbl 1320.32014 J. Algebra 439, 360-372 (2015). MSC: 32C38 14B05 33C70 14M25 PDFBibTeX XMLCite \textit{C. Berkesch Zamaere} et al., J. Algebra 439, 360--372 (2015; Zbl 1320.32014) Full Text: DOI arXiv
Berkesch Zamaere, Christine; Griffeth, Stephen; Miller, Ezra Systems of parameters and holonomicity of \(A\)-hypergeometric systems. (English) Zbl 1350.33023 Pac. J. Math. 276, No. 2, 281-286 (2015). Reviewer: Shigeki Matsutani (Nagasaki) MSC: 33C70 13N10 14M25 16S32 33C99 PDFBibTeX XMLCite \textit{C. Berkesch Zamaere} et al., Pac. J. Math. 276, No. 2, 281--286 (2015; Zbl 1350.33023) Full Text: DOI arXiv
Castro-Jiménez, Francisco-Jesús; Fernández-Fernández, María-Cruz; Koike, Tatsuya; Takayama, Nobuki Irregular modified \(A\)-hypergeometric systems. (English) Zbl 1335.32005 Trans. Am. Math. Soc. 367, No. 8, 5415-5445 (2015). Reviewer: Takesi Kawasaki (Tokyo) MSC: 32C38 14F10 33C70 13N10 14M25 PDFBibTeX XMLCite \textit{F.-J. Castro-Jiménez} et al., Trans. Am. Math. Soc. 367, No. 8, 5415--5445 (2015; Zbl 1335.32005) Full Text: DOI arXiv
Ando, Kana; Esterov, Alexander; Takeuchi, Kiyoshi Monodromies at infinity of confluent \(A\)-hypergeometric functions. (English) Zbl 1328.14083 Adv. Math. 272, 1-19 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 14M25 33C70 14D05 32S40 32S60 35A27 PDFBibTeX XMLCite \textit{K. Ando} et al., Adv. Math. 272, 1--19 (2015; Zbl 1328.14083) Full Text: DOI arXiv
Fernández-Fernández, María-Cruz Exponential growth of rank jumps for \(A\)-hypergeometric systems. (English) Zbl 1290.33016 Rev. Mat. Iberoam. 29, No. 4, 1397-1404 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C70 13N10 14M25 PDFBibTeX XMLCite \textit{M.-C. Fernández-Fernández}, Rev. Mat. Iberoam. 29, No. 4, 1397--1404 (2013; Zbl 1290.33016) Full Text: DOI arXiv
Saito, Mutsumi First Syzygies of irreducible \(A\)-hypergeometric quotients. (English) Zbl 1264.33018 J. Pure Appl. Algebra 217, No. 1, 31-44 (2013). MSC: 33C70 16S32 14M25 PDFBibTeX XMLCite \textit{M. Saito}, J. Pure Appl. Algebra 217, No. 1, 31--44 (2013; Zbl 1264.33018) Full Text: DOI
Fernández-Fernández, María-Cruz; Castro-Jiménez, Francisco-Jesús On irregular binomial \(D\)-modules. (English) Zbl 1262.32011 Math. Z. 272, No. 3-4, 1321-1337 (2012). Reviewer: Ana Rita Martins (Lisbon) MSC: 32C38 14M25 13N10 33C70 PDFBibTeX XMLCite \textit{M.-C. Fernández-Fernández} and \textit{F.-J. Castro-Jiménez}, Math. Z. 272, No. 3--4, 1321--1337 (2012; Zbl 1262.32011) Full Text: DOI arXiv
Dickenstein, Alicia; Martínez, Federico N.; Matusevich, Laura Felicia Nilsson solutions for irregular A-hypergeometric systems. (English) Zbl 1251.33012 Rev. Mat. Iberoam. 28, No. 3, 723-758 (2012). Reviewer: Peter Massopust (München) MSC: 33C70 14F10 14M25 32C38 PDFBibTeX XMLCite \textit{A. Dickenstein} et al., Rev. Mat. Iberoam. 28, No. 3, 723--758 (2012; Zbl 1251.33012) Full Text: DOI arXiv
Schulze, Mathias; Walther, Uli Resonance equals reducibility for \(A\)-hypergeometric systems. (English) Zbl 1251.13023 Algebra Number Theory 6, No. 3, 527-537 (2012). Reviewer: Rémi Arcadias (Sevilla) MSC: 13N10 33C70 32S40 14M25 PDFBibTeX XMLCite \textit{M. Schulze} and \textit{U. Walther}, Algebra Number Theory 6, No. 3, 527--537 (2012; Zbl 1251.13023) Full Text: DOI arXiv Link
Fernández-Fernández, M. C.; Castro-Jiménez, F. J. Gevrey solutions of irregular hypergeometric systems in two variables. (English) Zbl 1239.32008 J. Algebra 339, No. 1, 320-335 (2011). Reviewer: Alexandru Dimca (Nice) MSC: 32C38 13N10 14M25 33C70 PDFBibTeX XMLCite \textit{M. C. Fernández-Fernández} and \textit{F. J. Castro-Jiménez}, J. Algebra 339, No. 1, 320--335 (2011; Zbl 1239.32008) Full Text: DOI arXiv Link
Cattani, Eduardo; Dickenstein, Alicia; Villegas, Fernando Rodríguez The structure of bivariate rational hypergeometric functions. (English) Zbl 1218.33004 Int. Math. Res. Not. 2011, No. 11, 2496-2533 (2011). MSC: 33C20 14M25 PDFBibTeX XMLCite \textit{E. Cattani} et al., Int. Math. Res. Not. 2011, No. 11, 2496--2533 (2011; Zbl 1218.33004) Full Text: DOI arXiv
Saito, Mutsumi Irreducible quotients of \(A\)-hypergeometric systems. (English) Zbl 1219.33012 Compos. Math. 147, No. 2, 613-632 (2011). MSC: 33C70 16S32 14M25 PDFBibTeX XMLCite \textit{M. Saito}, Compos. Math. 147, No. 2, 613--632 (2011; Zbl 1219.33012) Full Text: DOI
Fernández-Fernández, M. C.; Castro-Jiménez, F. J. Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve. (English) Zbl 1219.32007 Trans. Am. Math. Soc. 363, No. 2, 923-948 (2011). Reviewer: Rajendra Kumar Yadav (Jodhpur) MSC: 32C38 13N10 14M25 33C70 PDFBibTeX XMLCite \textit{M. C. Fernández-Fernández} and \textit{F. J. Castro-Jiménez}, Trans. Am. Math. Soc. 363, No. 2, 923--948 (2011; Zbl 1219.32007) Full Text: DOI arXiv
Berkesch, Christine The rank of a hypergeometric system. (English) Zbl 1214.33009 Compos. Math. 147, No. 1, 284-318 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C70 14M25 16E30 20M25 PDFBibTeX XMLCite \textit{C. Berkesch}, Compos. Math. 147, No. 1, 284--318 (2011; Zbl 1214.33009) Full Text: DOI arXiv
Matsui, Yutaka; Takeuchi, Kiyoshi A geometric degree formula for \(A\)-discriminants and Euler obstructions of toric varieties. (English) Zbl 1205.14062 Adv. Math. 226, No. 2, 2040-2064 (2011). Reviewer: Alexandru Dimca (Nice) MSC: 14M25 32S60 14N05 33C70 35A27 PDFBibTeX XMLCite \textit{Y. Matsui} and \textit{K. Takeuchi}, Adv. Math. 226, No. 2, 2040--2064 (2011; Zbl 1205.14062) Full Text: DOI arXiv
Takeuchi, Kiyoshi Monodromy at infinity of \(A\)-hypergeometric functions and toric compactifications. (English) Zbl 1203.14059 Math. Ann. 348, No. 4, 815-831 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 14M25 14D05 32S40 32S60 33C70 35A27 PDFBibTeX XMLCite \textit{K. Takeuchi}, Math. Ann. 348, No. 4, 815--831 (2010; Zbl 1203.14059) Full Text: DOI arXiv
Fernández-Fernández, María-Cruz Irregular hypergeometric \(\mathcal D\)-modules. (English) Zbl 1236.14018 Adv. Math. 224, No. 5, 1735-1764 (2010). Reviewer: Rémi Arcadias (Sevilla) MSC: 14F10 32C38 13N10 33C99 14M25 PDFBibTeX XMLCite \textit{M.-C. Fernández-Fernández}, Adv. Math. 224, No. 5, 1735--1764 (2010; Zbl 1236.14018) Full Text: DOI arXiv
Dickenstein, Alicia; Matusevich, Laura Felicia; Miller, Ezra Binomial \(D\)-modules. (English) Zbl 1205.13031 Duke Math. J. 151, No. 3, 385-429 (2010). Reviewer: Eivind Eriksen (Oslo) MSC: 13N10 33C70 32C38 14F10 14M25 PDFBibTeX XMLCite \textit{A. Dickenstein} et al., Duke Math. J. 151, No. 3, 385--429 (2010; Zbl 1205.13031) Full Text: DOI arXiv
Matusevich, Laura Felicia Weyl closure of hypergeometric systems. (English) Zbl 1180.33020 Collect. Math. 60, No. 2, 147-158 (2009). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C70 32C38 13N10 14M25 PDFBibTeX XMLCite \textit{L. F. Matusevich}, Collect. Math. 60, No. 2, 147--158 (2009; Zbl 1180.33020) Full Text: DOI arXiv EuDML
Stienstra, Jan Hypergeometric systems in two variables, quivers, dimers and dessins d’enfants. (English) Zbl 1166.33001 Yui, Noriko (ed.) et al., Modular forms and string duality. Proceedings of a workshop, Banff, Canada, June 3–8, 2006. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4484-7/hbk). Fields Institute Communications 54, 125-161 (2008). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C70 52B20 14M25 05C90 PDFBibTeX XMLCite \textit{J. Stienstra}, Fields Inst. Commun. 54, 125--161 (2008; Zbl 1166.33001) Full Text: arXiv
Doran, Charles; Headrick, Matthew; Herzog, Christopher P.; Kantor, Joshua; Wiseman, Toby Numerical Kähler-Einstein metric on the third del Pezzo. (English) Zbl 1159.32014 Commun. Math. Phys. 282, No. 2, 357-393 (2008). Reviewer: Alessandro Ghigi (Milano) MSC: 32Q20 33F05 14M25 53C44 PDFBibTeX XMLCite \textit{C. Doran} et al., Commun. Math. Phys. 282, No. 2, 357--393 (2008; Zbl 1159.32014) Full Text: DOI arXiv
Stienstra, Jan GKZ hypergeometric structures. (English) Zbl 1119.14003 Holzapfel, Rolf-Peter (ed.) et al., Arithmetic and geometry around hypergeometric functions. Lecture notes of a CIMPA summer school held at Galatasaray University, Istanbul, Turkey, June 13–25, 2005. Basel: Birkhäuser (ISBN 978-3-7643-8283-4/hbk). Progress in Mathematics 260, 313-371 (2007). MSC: 14-02 33-02 33C70 14M25 14N35 14J32 PDFBibTeX XMLCite \textit{J. Stienstra}, Prog. Math. 260, 313--371 (2007; Zbl 1119.14003) Full Text: DOI arXiv
Matusevich, Laura Felicia; Walther, Uli Arbitrary rank jumps for \(A\)-hypergeometric systems through Laurent polynomials. (English) Zbl 1162.13011 J. Lond. Math. Soc., II. Ser. 75, No. 1, 213-224 (2007). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 13N10 33C70 14M25 52B20 PDFBibTeX XMLCite \textit{L. F. Matusevich} and \textit{U. Walther}, J. Lond. Math. Soc., II. Ser. 75, No. 1, 213--224 (2007; Zbl 1162.13011) Full Text: DOI arXiv
Altmann, Klaus (ed.); Batyrev, Victor (ed.); Teissier, Bernard (ed.) Report 5/2006: Convex and Algebraic Geometry (January 29th – February 4th, 2006). (English) Zbl 1110.14300 Oberwolfach Rep. 3, No. 1, 253-316 (2006). MSC: 14-06 52-06 00B05 14M25 52B20 14J32 14D06 14L30 14N35 33C70 14J45 16G20 PDFBibTeX XMLCite \textit{K. Altmann} (ed.) et al., Oberwolfach Rep. 3, No. 1, 253--316 (2006; Zbl 1110.14300) Full Text: DOI Link
Okuyama, Go \(\mathcal A\)-hypergeometric ranks for toric threefolds. (English) Zbl 1133.14055 Int. Math. Res. Not. 2006, No. 14, Article ID 70814, 38 p. (2006). Reviewer: Angela Pasquale (Metz) MSC: 14M25 14J30 33C70 33C67 PDFBibTeX XMLCite \textit{G. Okuyama}, Int. Math. Res. Not. 2006, No. 14, Article ID 70814, 38 p. (2006; Zbl 1133.14055) Full Text: DOI
Borisov, Lev A.; Horja, R. Paul Mellin–Barnes integrals as Fourier–Mukai transforms. (English) Zbl 1137.14314 Adv. Math. 207, No. 2, 876-927 (2006). MSC: 14M25 14J32 14C15 14C35 19E08 33C70 14F05 PDFBibTeX XMLCite \textit{L. A. Borisov} and \textit{R. P. Horja}, Adv. Math. 207, No. 2, 876--927 (2006; Zbl 1137.14314) Full Text: DOI arXiv
Okuyama, Go Local cohomology modules of \(A\)-hypergeometric system of Cohen-Macaulay type. (English) Zbl 1102.13019 Tohoku Math. J. (2) 58, No. 2, 259-275 (2006). MSC: 13D45 20M25 14M25 13C14 16S36 33C70 42A38 PDFBibTeX XMLCite \textit{G. Okuyama}, Tôhoku Math. J. (2) 58, No. 2, 259--275 (2006; Zbl 1102.13019) Full Text: DOI Link
Matusevich, Laura Felicia; Miller, Ezra Combinatorics of rank jumps in simplicial hypergeometric systems. (English) Zbl 1090.33005 Proc. Am. Math. Soc. 134, No. 5, 1375-1381 (2006). Reviewer: Vasily A. Chernecky (Odessa) MSC: 33C70 14M25 13N10 13D45 52B20 13C14 16S36 20M25 PDFBibTeX XMLCite \textit{L. F. Matusevich} and \textit{E. Miller}, Proc. Am. Math. Soc. 134, No. 5, 1375--1381 (2006; Zbl 1090.33005) Full Text: DOI arXiv
Dickenstein, Alicia; Matusevich, Laura Felicia; Sadykov, Timur Bivariate hypergeometric \(D\)-modules. (English) Zbl 1089.33009 Adv. Math. 196, No. 1, 78-123 (2005). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 33C70 32C38 35N10 33C65 14M25 PDFBibTeX XMLCite \textit{A. Dickenstein} et al., Adv. Math. 196, No. 1, 78--123 (2005; Zbl 1089.33009) Full Text: DOI arXiv
Tanabé, Susumu Transformée de Mellin des intégrales- fibres associées à l’intersection complète non-dégénérée. arXiv:math/0405399 Preprint, arXiv:math/0405399 [math.AG] (2004). MSC: 33C70 14M25 14J32 BibTeX Cite \textit{S. Tanabé}, ``Transform\'ee de Mellin des int\'egrales- fibres associ\'ees \`a l'intersection compl\`ete non-d\'eg\'en\'er\'ee'', Preprint, arXiv:math/0405399 [math.AG] (2004) Full Text: arXiv
Matusevich, Laura Felicia Exceptional parameters for generic \(A\)-hypergeometric systems. (English) Zbl 1074.32005 Int. Math. Res. Not. 2003, No. 22, 1225-1248 (2003). MSC: 32C38 16S32 35A30 14M25 33C70 PDFBibTeX XMLCite \textit{L. F. Matusevich}, Int. Math. Res. Not. 2003, No. 22, 1225--1248 (2003; Zbl 1074.32005) Full Text: DOI arXiv
Saito, Mutsumi Logarithm-free \(A\)-hypergeometric series. (English) Zbl 1031.33011 Duke Math. J. 115, No. 1, 53-73 (2002). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 33C70 14M25 13N10 16S32 PDFBibTeX XMLCite \textit{M. Saito}, Duke Math. J. 115, No. 1, 53--73 (2002; Zbl 1031.33011) Full Text: DOI arXiv
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd Binomial residues. (English) Zbl 1015.32007 Ann. Inst. Fourier 52, No. 3, 687-708 (2002). Reviewer: Marko Roczen (Berlin) MSC: 32A45 32A99 14M25 33C60 05B35 68W30 PDFBibTeX XMLCite \textit{E. Cattani} et al., Ann. Inst. Fourier 52, No. 3, 687--708 (2002; Zbl 1015.32007) Full Text: DOI arXiv Numdam EuDML
Matusevich, Laura Felicia Rank jumps in codimension 2 \(A\)-hypergeometric systems. (English) Zbl 1074.32004 J. Symb. Comput. 32, No. 6, 619-641 (2001). MSC: 32C38 16S32 35A30 14M25 33C70 PDFBibTeX XMLCite \textit{L. F. Matusevich}, J. Symb. Comput. 32, No. 6, 619--641 (2001; Zbl 1074.32004) Full Text: DOI arXiv
Saito, Mutsumi Isomorphism classes of \(A\)-hypergeometric systems. (English) Zbl 1075.33009 Compos. Math. 128, No. 3, 323-338 (2001). MSC: 33C70 14M25 16S32 PDFBibTeX XMLCite \textit{M. Saito}, Compos. Math. 128, No. 3, 323--338 (2001; Zbl 1075.33009) Full Text: DOI arXiv
Cattani, Eduardo; Dickenstein, Alicia; Sturmfels, Bernd Rational hypergeometric functions. (English) Zbl 0990.33013 Compos. Math. 128, No. 2, 217-240 (2001). Reviewer: David M.Bressoud (Saint Paul) MSC: 33C70 14M25 PDFBibTeX XMLCite \textit{E. Cattani} et al., Compos. Math. 128, No. 2, 217--240 (2001; Zbl 0990.33013) Full Text: DOI arXiv
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki Gröbner deformations of hypergeometric differential equations. (English) Zbl 0946.13021 Algorithms and Computation in Mathematics. 6. Berlin: Springer. viii, 254 p. (2000). Reviewer: Peter Schenzel (Halle) MSC: 13P10 68W30 13-02 68-02 33D60 13N10 14M25 16S32 14F10 PDFBibTeX XMLCite \textit{M. Saito} et al., Gröbner deformations of hypergeometric differential equations. Berlin: Springer (2000; Zbl 0946.13021)
Stienstra, Jan Resonant hypergeometric systems and mirror symmetry. (English) Zbl 0963.14017 Saito, M.-H. (ed.) et al., Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30-July 4, 1997, and in Kyoto, Japan, July 7-11 1997. Singapore: World Scientific. 412-452 (1998). MSC: 14J32 33C70 14D05 14M25 14N35 PDFBibTeX XMLCite \textit{J. Stienstra}, in: Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30--July 4, 1997, and in Kyoto, Japan, July 7--11 1997. Singapore: World Scientific. 412--452 (1998; Zbl 0963.14017) Full Text: arXiv
Kapranov, Mikhail Hypergeometric functions on reductive groups. (English) Zbl 0987.33008 Saito, M.-H. (ed.) et al., Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30-July 4, 1997, and in Kyoto, Japan, July 7-11, 1997. Singapore: World Scientific. 236-281 (1998). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33C80 14M25 20G05 22E30 32G34 PDFBibTeX XMLCite \textit{M. Kapranov}, in: Integrable systems and algebraic geometry. Proceedings of the 41st Taniguchi symposium, Kobe, Japan, June 30--July 4, 1997, and in Kyoto, Japan, July 7--11 1997. Singapore: World Scientific. 236--281 (1998; Zbl 0987.33008) Full Text: arXiv
Batyrev, Victor V. Mirror symmetry and toric geometry. (English) Zbl 0933.14020 Doc. Math. Extra Vol. ICM Berlin 1998, vol. II, 239-248 (1998). Reviewer: K.Altmann (Berlin) MSC: 14J32 14J45 81T60 52B20 33C50 81T30 14M25 14H50 PDFBibTeX XMLCite \textit{V. V. Batyrev}, Doc. Math. Extra Vol., 239--248 (1998; Zbl 0933.14020) Full Text: EuDML EMIS
Sekiguchi, Jiro; Takayama, Nobuki Compactifications of the configuration space of six points of the projective plane and fundamental solutions of the hypergeometric system of type \((3,6)\). (English) Zbl 0902.33006 Tôhoku Math. J., II. Ser. 49, No. 3, 379-413 (1997). Reviewer: T.Sasaki (Kobe) MSC: 33C70 14M15 14M25 PDFBibTeX XMLCite \textit{J. Sekiguchi} and \textit{N. Takayama}, Tôhoku Math. J. (2) 49, No. 3, 379--413 (1997; Zbl 0902.33006) Full Text: DOI
Hosono, S.; Lian, B. H.; Yau, S.-T. GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces. (English) Zbl 0870.14028 Commun. Math. Phys. 182, No. 3, 535-577 (1996). Reviewer: I.V.Dolgachev (Ann Arbor) MSC: 14J32 14M25 14D05 14J70 81T30 33C50 PDFBibTeX XMLCite \textit{S. Hosono} et al., Commun. Math. Phys. 182, No. 3, 535--577 (1996; Zbl 0870.14028) Full Text: DOI arXiv
Gel’fand, I. M.; Graev, M. I.; Spirin, S. A. Hypergeometric functions and the Newton polytope associated with the action of the torus \((\mathbb C^*)\) on \(\bigwedge^ k\mathbb C^n\). (English. Russian original) Zbl 1066.33503 Dokl. Math. 53, No. 3, 348-351 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 2, 155-158 (1996). MSC: 33C70 14M25 PDFBibTeX XMLCite \textit{I. M. Gel'fand} et al., Dokl. Math. 53, No. 3, 348--351 (1996; Zbl 1066.33503); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 2, 155--158 (1996)
Batyrev, Victor V.; van Straten, Duco Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties. (English) Zbl 0843.14016 Commun. Math. Phys. 168, No. 3, 493-533 (1995). Reviewer: T.Oda (Sendai) MSC: 14J32 14M25 33C20 PDFBibTeX XMLCite \textit{V. V. Batyrev} and \textit{D. van Straten}, Commun. Math. Phys. 168, No. 3, 493--533 (1995; Zbl 0843.14016) Full Text: DOI arXiv
Saito, Mutsumi Parameter shift in normal generalized hypergeometric systems. (English) Zbl 0768.33016 Tôhoku Math. J., II. Ser. 44, No. 4, 523-534 (1992). MSC: 33C70 14M25 16W50 39B32 PDFBibTeX XMLCite \textit{M. Saito}, Tôhoku Math. J. (2) 44, No. 4, 523--534 (1992; Zbl 0768.33016) Full Text: DOI
Sturmfels, Bernd Asymptotic analysis of toric ideals. (English) Zbl 0784.14024 Mem. Fac. Sci., Kyushu Univ., Ser. A 46, No. 2, 217-228 (1992). Reviewer: F.Pauer (Innsbruck) MSC: 14M25 13P10 33C99 PDFBibTeX XMLCite \textit{B. Sturmfels}, Mem. Fac. Sci., Kyushu Univ., Ser. A 46, No. 2, 217--228 (1992; Zbl 0784.14024) Full Text: DOI