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## Brenner, Holger

Compute Distance To:
 Author ID: brenner.holger Published as: Brenner, Holger; Brenner, H. External Links: MGP · Wikidata · GND
 Documents Indexed: 50 Publications since 1992, including 1 Book Reviewing Activity: 11 Reviews
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#### Co-Authors

 25 single-authored 6 Kaid, Almar 4 Stäbler, Axel 3 Caminata, Alessio 2 Gómez-Ramírez, Danny Arlen de Jesús 1 Alberelli, Davide 1 Fischbacher-Weitz, Helena 1 Hein, Georg 1 Jeffries, Jack 1 Katzman, Mordechai 1 Li, Jinjia 1 Miller, Claudia M. 1 Monsky, Paul 1 Núñez-Betancourt, Luis 1 Schröer, Stefan 1 Steinbuch, Jonathan 1 Storch, Uwe
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#### Serials

 6 Journal of Algebra 5 Communications in Algebra 2 Advances in Mathematics 2 American Journal of Mathematics 2 Illinois Journal of Mathematics 2 Journal of Pure and Applied Algebra 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Mathematical Research Letters 1 International Journal of Heat and Mass Transfer 1 Mathematische Semesterberichte 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Acta Arithmetica 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Compositio Mathematica 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Revista Colombiana de Matemáticas 1 Journal of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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#### Fields

 42 Commutative algebra (13-XX) 38 Algebraic geometry (14-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 245 times in 152 Documents Cited by Year
Syzygy bundles on $$\mathbb P^2$$ and the weak Lefschetz property. Zbl 1148.13007
Brenner, Holger; Kaid, Almar
2007
A note on the weak Lefschetz property of monomial complete intersections in positive characteristic. Zbl 1221.13019
Brenner, Holger; Kaid, Almar
2011
Tight closure does not commute with localization. Zbl 1239.13008
Brenner, Holger; Monsky, Paul
2010
The rationality of the Hilbert-Kunz multiplicity in graded dimension two. Zbl 1098.13017
Brenner, Holger
2006
Looking out for stable syzygy bundles. Zbl 1166.13007
Brenner, Holger
2008
Slopes of vector bundles on projective curves and applications to tight closure problems. Zbl 1041.13002
Brenner, Holger
2004
Ample families, multihomogeneous spectra, and algebraization of formal schemes. Zbl 1095.14004
Brenner, Holger; Schröer, Stefan
2003
Tight closure and projective bundles. Zbl 1099.13010
Brenner, Holger
2003
On a problem of Miyaoka. Zbl 1098.14022
Brenner, Holger
2005
Bounds for test exponents. Zbl 1105.13006
Brenner, Holger
2006
The Hilbert-Kunz function in graded dimension two. Zbl 1155.13004
Brenner, Holger
2007
On deep Frobenius descent and flat bundles. Zbl 1200.14061
Brenner, Holger; Kaid, Almar
2008
Computing the tight closure in dimension two. Zbl 1070.13010
Brenner, Holger
2005
Quantifying singularities with differential operators. Zbl 1457.14040
Brenner, Holger; Jeffries, Jack; Núñez-Betancourt, Luis
2019
Dagger closure and solid closure in graded dimension two. Zbl 1304.13007
Brenner, Holger; Stäbler, Axel
2013
Tight closure and plus closure for cones over elliptic curves. Zbl 1074.13003
Brenner, Holger
2005
There is no Bogomolov type restriction theorem for strong semistability in positive characteristic. Zbl 1083.14050
Brenner, Holger
2005
Lifting chains of prime ideals. Zbl 1073.13003
Brenner, Holger
2003
The symmetric signature. Zbl 1390.13017
Brenner, Holger; Caminata, Alessio
2017
Tight closure and vector bundles. Zbl 1197.13005
Brenner, Holger
2008
Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions. Zbl 1153.13003
Brenner, Holger; Hein, Georg
2006
A linear bound for Frobenius powers and an inclusion bound for tight closure. Zbl 1113.13003
Brenner, Holger
2005
Tight closure and plus closure in dimension two. Zbl 1102.13002
Brenner, Holger
2006
A characteristic zero Hilbert-Kunz criterion for solid closure in dimension two. Zbl 1070.13009
Brenner, Holger
2004
How to rescue solid closure. Zbl 1092.13007
Brenner, Holger
2003
An explicit example of Frobenius periodicity. Zbl 1271.14044
Brenner, Holger; Kaid, Almar
2013
A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves. Zbl 1435.13014
Brenner, Holger; Li, Jinjia; Miller, Claudia
2012
On superheight conditions for the affineness of open subsets. Zbl 1045.14025
Brenner, Holger
2002
Generalized Hilbert-Kunz function in graded dimension 2. Zbl 1410.13003
Brenner, Holger; Caminata, Alessio
2018
Dagger closure in regular rings containing a field. Zbl 1279.13013
Brenner, Holger; Stäbler, Axel
2012
Forcing algebras, syzygy bundles, and tight closure. Zbl 1225.13011
Brenner, Holger
2011
On the arithmetic of tight closure. Zbl 1096.13005
Brenner, Holger; Katzman, Mordechai
2006
Differential symmetric signature in high dimension. Zbl 1446.13006
Brenner, Holger; Caminata, Alessio
2019
Tight closure and continuous closure. Zbl 1457.13009
Brenner, Holger; Steinbuch, Jonathan
2021
Local Picard group of pointed monoids and their algebras. Zbl 1419.13041
Alberelli, Davide; Brenner, Holger
2019
Vector bundles and ideal closure operations. Zbl 1359.13005
Brenner, Holger
2015
A remark on Frobenius descent for vector bundles. Zbl 1194.14050
Brenner, Holger; Kaid, Almar
2008
Tight closure and continuous closure. Zbl 1457.13009
Brenner, Holger; Steinbuch, Jonathan
2021
Quantifying singularities with differential operators. Zbl 1457.14040
Brenner, Holger; Jeffries, Jack; Núñez-Betancourt, Luis
2019
Differential symmetric signature in high dimension. Zbl 1446.13006
Brenner, Holger; Caminata, Alessio
2019
Local Picard group of pointed monoids and their algebras. Zbl 1419.13041
Alberelli, Davide; Brenner, Holger
2019
Generalized Hilbert-Kunz function in graded dimension 2. Zbl 1410.13003
Brenner, Holger; Caminata, Alessio
2018
The symmetric signature. Zbl 1390.13017
Brenner, Holger; Caminata, Alessio
2017
Vector bundles and ideal closure operations. Zbl 1359.13005
Brenner, Holger
2015
Dagger closure and solid closure in graded dimension two. Zbl 1304.13007
Brenner, Holger; Stäbler, Axel
2013
An explicit example of Frobenius periodicity. Zbl 1271.14044
Brenner, Holger; Kaid, Almar
2013
A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves. Zbl 1435.13014
Brenner, Holger; Li, Jinjia; Miller, Claudia
2012
Dagger closure in regular rings containing a field. Zbl 1279.13013
Brenner, Holger; Stäbler, Axel
2012
A note on the weak Lefschetz property of monomial complete intersections in positive characteristic. Zbl 1221.13019
Brenner, Holger; Kaid, Almar
2011
Forcing algebras, syzygy bundles, and tight closure. Zbl 1225.13011
Brenner, Holger
2011
Tight closure does not commute with localization. Zbl 1239.13008
Brenner, Holger; Monsky, Paul
2010
Looking out for stable syzygy bundles. Zbl 1166.13007
Brenner, Holger
2008
On deep Frobenius descent and flat bundles. Zbl 1200.14061
Brenner, Holger; Kaid, Almar
2008
Tight closure and vector bundles. Zbl 1197.13005
Brenner, Holger
2008
A remark on Frobenius descent for vector bundles. Zbl 1194.14050
Brenner, Holger; Kaid, Almar
2008
Syzygy bundles on $$\mathbb P^2$$ and the weak Lefschetz property. Zbl 1148.13007
Brenner, Holger; Kaid, Almar
2007
The Hilbert-Kunz function in graded dimension two. Zbl 1155.13004
Brenner, Holger
2007
The rationality of the Hilbert-Kunz multiplicity in graded dimension two. Zbl 1098.13017
Brenner, Holger
2006
Bounds for test exponents. Zbl 1105.13006
Brenner, Holger
2006
Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions. Zbl 1153.13003
Brenner, Holger; Hein, Georg
2006
Tight closure and plus closure in dimension two. Zbl 1102.13002
Brenner, Holger
2006
On the arithmetic of tight closure. Zbl 1096.13005
Brenner, Holger; Katzman, Mordechai
2006
On a problem of Miyaoka. Zbl 1098.14022
Brenner, Holger
2005
Computing the tight closure in dimension two. Zbl 1070.13010
Brenner, Holger
2005
Tight closure and plus closure for cones over elliptic curves. Zbl 1074.13003
Brenner, Holger
2005
There is no Bogomolov type restriction theorem for strong semistability in positive characteristic. Zbl 1083.14050
Brenner, Holger
2005
A linear bound for Frobenius powers and an inclusion bound for tight closure. Zbl 1113.13003
Brenner, Holger
2005
Slopes of vector bundles on projective curves and applications to tight closure problems. Zbl 1041.13002
Brenner, Holger
2004
A characteristic zero Hilbert-Kunz criterion for solid closure in dimension two. Zbl 1070.13009
Brenner, Holger
2004
Ample families, multihomogeneous spectra, and algebraization of formal schemes. Zbl 1095.14004
Brenner, Holger; Schröer, Stefan
2003
Tight closure and projective bundles. Zbl 1099.13010
Brenner, Holger
2003
Lifting chains of prime ideals. Zbl 1073.13003
Brenner, Holger
2003
How to rescue solid closure. Zbl 1092.13007
Brenner, Holger
2003
On superheight conditions for the affineness of open subsets. Zbl 1045.14025
Brenner, Holger
2002
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#### Cited by 151 Authors

 24 Brenner, Holger 20 Mirò-Roig, Rosa Maria 7 Nagel, Uwe 6 Migliore, Juan Carlos 6 Stäbler, Axel 5 Caminata, Alessio 5 Kaid, Almar 5 Mezzetti, Emilia 5 Vraciu, Adela N. 4 Kustin, Andrew R. 4 Pham Hung Quy 4 Smirnov, Ilya 4 Zanello, Fabrizio 3 Boij, Mats 3 Cook, David II 3 Dao, Hailong 3 Langer, Adrian 3 Monsky, Paul 3 Ragusa, Alfio 3 Shimomoto, Kazuma 3 Trivedi, Vijaylaxmi 3 Zappalà, Giuseppe 2 Asgharzadeh, Mohsen 2 Boyle, Bernadette 2 Brinkmann, Daniel 2 Colarte, Liena 2 Dinh, Trung T. 2 Duarte, Daniel C. S. 2 Epstein, Neil 2 Esnault, Hélène 2 Heitmann, Raymond C. 2 Hochster, Melvin 2 Huong, Duong Thi 2 Ilardi, Giovanna 2 Katzman, Mordechai 2 Li, Jinjia 2 Lundqvist, Samuel 2 Marques, Pedro Macias 2 Michałek, Mateusz 2 Nicklasson, Lisa 2 Núñez-Betancourt, Luis 2 Perling, Markus 2 Salat, Martí 2 Trần Quang Hóa 2 Watanabe, Kei-ichi 2 Yao, Yongwei 2 Zhang, Wenliang 1 Ahn, Jeaman 1 Almeida, Charles 1 Andrade, Aline Vilela 1 André, Yves 1 Badilla-Cespedes, Wagner 1 Biswas, Indranil 1 Boix, Alberto Fernandez 1 Chan, Chin-Yi Jean 1 Chávez Martínez, Enrique 1 Chen, Charles P. 1 Cid-Ruiz, Yairon 1 Coandă, Iustin 1 Colarte-Gómez, Liena 1 Coquand, Thierry 1 Costa, Laura 1 de Alba, Hernán 1 De Poi, Pietro 1 De Stefani, Alessandro 1 Dell’Ambrogio, Ivo 1 Deninger, Christopher 1 Di Gennaro, Roberta 1 Dietz, Geoffrey D. 1 Dobbs, David Earl 1 Dorreh, Mehdi 1 Ducos, Lionel 1 El Khoury, Sabine 1 Failla, Gioia 1 Favacchio, Giuseppe 1 Favero, David 1 Fefferman, Charles Louis 1 Flenner, Hubert 1 Giles Flores, Arturo 1 Flores, Zachary 1 Fouli, Louiza 1 Fröberg, Ralf 1 Fulger, Mihai 1 Gómez-Ramírez, Danny Arlen de Jesús 1 Gross, Philipp 1 Guo, Alan 1 Haghighi, Hassan 1 Hausen, Jürgen 1 Hein, Georg 1 Hetzel, Andrew J. 1 Huneke, Craig L. 1 Jeffries, Jack 1 Jin, Xin 1 Kaliman, Shulim I. 1 Kanda, Ryo 1 Kasprowitz, Ralf 1 Katthän, Lukas 1 Keeler, Dennis Shawn 1 Kisin, Mark 1 Kurano, Kazuhiko ...and 51 more Authors
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#### Cited in 49 Serials

 32 Journal of Algebra 18 Journal of Pure and Applied Algebra 11 Communications in Algebra 9 Proceedings of the American Mathematical Society 8 Transactions of the American Mathematical Society 5 Collectanea Mathematica 5 Nagoya Mathematical Journal 4 Illinois Journal of Mathematics 4 International Journal of Mathematics 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Zeitschrift 2 Beiträge zur Algebra und Geometrie 2 Archiv der Mathematik 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Manuscripta Mathematica 2 Michigan Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Documenta Mathematica 2 Algebras and Representation Theory 2 Journal of Commutative Algebra 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Sugaku Expositions 1 Linear Algebra and its Applications 1 Experimental Mathematics 1 Applied Categorical Structures 1 Selecta Mathematica. New Series 1 Annals of Mathematics. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Arnold Mathematical Journal
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#### Cited in 20 Fields

 127 Commutative algebra (13-XX) 89 Algebraic geometry (14-XX) 8 Combinatorics (05-XX) 6 Differential geometry (53-XX) 5 Associative rings and algebras (16-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Category theory; homological algebra (18-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX)

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