Benutzer:Holger Brenner/Publikationen

Nahezu alle meine Arbeiten kann man im arXiv runterladen.

Link zu Artikeln im arXiv und im Zentralblatt.

Schriftenverzeichnis

Brenner, Holger: Ein überabzählbares, über ${}\mathbb {Q}$ linear unabhängiges System reeller Zahlen, Math. Semesterberichte 39 (1) (1992), 89-93.

Brenner, Holger: Topologische und algebraische Filter, Diplomarbeit, Ruhr-Universität Bochum, 1994.

Brenner, Holger: Zur Affinität von Hyperflächenkomplementen in affinen und projektiven Schemata, Dissertation, Ruhr-Universität Bochum, 1999.

Brenner, Holger: Eine vollständige Formalisierung der aristotelischen Notwendigkeitssyllogistik, in: Beiträge zum Satz vom Widerspruch und zur Aristotelischen Prädikationstheorie, Hildesheim (2000), 333-356.

Brenner, Holger: Rings of global sections in two-dimensional schemes, Beiträge Algebra Geometrie 42 (2) (2001), 443-450.

Brenner, Holger: On superheight conditions for the affineness of open subsets, J. Algebra 247 (1) (2002), 37-56.

Brenner, Holger: The affine class group of a normal scheme, Comm. Algebra 31 (6) (2003), 2849-2867.

Brenner, Holger: Lifting chains of prime ideals, J. Pure Appl. Algebra 179 (1-2) (2003), 1-5.

Brenner, Holger und Schröer, Stefan: Ample families, multihomogeneous spectra, and algebraization of formal schemes, Pacific J. Math. 208 (2) (2003), 209-230.

Brenner, Holger: The theory of tight closure from the viewpoint of vector bundles, Habilitationsschrift, Ruhr-Universität Bochum, 2003.

Brenner, Holger: Tight closure and projective bundles, J. Algebra 265 (2003), 45-78.

Brenner, Holger: How to rescue solid closure, J. Algebra 265 (2003), 579-605.

Brenner, Holger: Slopes of vector bundles on projective curves and applications to tight closure problems, Trans. Amer. Math. Soc. 356 (1) (2004), 371-392.

Brenner, Holger: A class of counter-examples to the hypersection problem based on forcing equations, Arch. Math. 82 (6) (2004), 564-569.

Brenner, Holger: A characteristic zero Hilbert-Kunz criterion for solid closure in dimension two, Math. Res. Lett. 11 (5-6) (2004), 563-574.

Brenner, Holger: Tight closure and plus closure for cones over elliptic curves, Nagoya Math. J. 177 (2005), 31-45.

Brenner, Holger: Computing the tight closure in dimension two, Math. Comput. 74 (251) (2005), 1495-1518.

Brenner, Holger: There is no Bogomolov type restriction theorem for strong semistability in positive characteristic, Proc. Amer. Math. Soc. 133 (7) (2005), 1941-1947.

Brenner, Holger: On a problem of Miyaoka, in: Number fields and function fields - two parallel worlds, Birkhäuser Boston (2005), 51-59.

Brenner, Holger: A linear bound for Frobenius powers and an inclusion bound for tight closure, Michigan Math. J. 53 (3) (2005), 585-596.

Brenner, Holger und Hein, Georg: Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions, Manuscripta Math. 119 (1) (2006), 17-36.

Brenner, Holger: The rationality of the Hilbert-Kunz multiplicity in graded dimension two, Math. Ann. 334 (1) (2006), 91-110.

Brenner, Holger: Tight closure and plus closure in dimension two, Amer. J. Math. 128 (2006), 531-539.

Brenner, Holger: Bounds for test exponents, Compos. Math. 142 (2) (2006), 451-463.

Brenner, Holger und Katzman, Mordechai: On the arithmetic of tight closure, J. Amer. Math. Soc. 19 (3) (2006), 659-672.

Brenner, Holger: Continuous solutions to algebraic forcing equations, ArXiv (2006).

Brenner, Holger: Grothendieck topologies and ideal closure operations, ArXiv (2006).

Brenner, Holger, Kaid, Almar und Storch, Uwe: Unitarily graded field extensions, Acta Arith. 126 (1) (2007), 77-98.

Brenner, Holger: The Hilbert-Kunz function in graded dimension two, Comm. Algebra 35 (10) (2007), 3199-3213.

Brenner, Holger und Kaid, Almar: Syzygy bundles on ${}{\mathbb {P} }^{2}$ and the weak Lefschetz property, Illinois J. Math. 51 (4) (2007), 1299-1308.

Brenner, Holger: Looking out for stable syzygy bundles, Adv. Math. 219 (2) (2008), 401-427.

Brenner, Holger: Tight closure and vector bundles, in: Three lectures on commutative algebra, Amer. Math. Soc. Providence (2008), 1-71.

Brenner, Holger und Kaid, Almar: On deep Frobenius descent and flat bundles, Math. Res. Lett. 15 (6) (2008), 1101-1115.

Brenner, Holger und Kaid, Almar: A remark on Frobenius descent for vector bundles, Michigan Math. J. 57 (2008), 63-69.

Brenner, Holger und Monsky, Paul: Tight closure does not commute with localization, Ann. of Math. (2) 171 (1) (2010), 571-588.

Brenner, Holger: Forcing algebras, syzygy bundles, and tight closure, in: Commutative Algebra: Noetherian and non-Noetherian Perspectives, Springer (2010).

Brenner, Holger und Kaid, Almar: A note on the weak Lefschetz property of monomial complete intersections in positive characteristic, Collectanea Mathematica 62 (1) (2011), 85-93.

Brenner, Holger und Fischbacher-Weitz, Helena: Generic bounds for Frobenius closure and tight closure, Amer. J. Maths. 133 (4) (2011), 889-912.

Brenner, Holger und Stäbler, Axel: Dagger closure in regular rings containing a field, J. Algebra 370 (2012), 176-185.

Brenner, Holger, Li, Jinjia und Miller, Claudia: A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves, Journal of Algebra 372 (2012), 488-504.

Brenner, Holger: Some remarks on the affineness of ${}{\mathbb {A} }^{1}$ -bundles, in: Commutative Algebra and Algebraic Geometry (CAAG-2010), Ramanujan Mathematical Society (2013), 19-44.

Brenner, Holger und Kaid, Almar: An explicit example of Frobenius periodicity, J. Pure Applied Algebra 217 (8) (2013), 1412-1420.

Brenner, Holger und Stäbler, Axel: Dagger closure and solid closure in graded dimension two, Transactions AMS 365 (11) (2013), 5883-5910.

Brenner, Holger und Stäbler, Axel: On the behaviour of strong semistability in geometric deformations, Illinois J. Math. 57 (2) (2013), 325-341.

Brenner, Holger: Irrational Hilbert-Kunz multiplicities, ArXiv (2013).

Brenner, Holger und Gómez-Ramírez, Danny de Jesús: On the connectedness of the spectrum of forcing algebras, Revista Colombiana de Matemáticas 48 (1) (2014), 1-19.

Brenner, Holger: Vector bundles and ideal closure operations, in: Lectures held at the Special Year on Commutative Algebra in MSRI, 2012, (2015), 53-93.

Brenner, Holger und Stäbler, Axel: On a question of Mehta and Pauly, C. R., Math., Acad. Sci. Paris 353 (9) (2015), 855-857.

Brenner, Holger und Gómez-Ramírez, Danny de Jesús: Normality and related properties of forcing algebras, Commun. Algebra 44 (11) (2016), 4769-4793.

Brenner, Holger und Caminata, Alessio: The symmetric signature, Commun. Algebra 45 (9) (2017), 3730-3756.

Brenner, Holger und Caminata, Alessio: Generalized Hilbert-Kunz function in graded dimension two, Nagoya Math. J. 230 (2018), 1-17.

Alberelli, Davide und Brenner, Holger: Local Picard Group of Pointed Monoids and Their Algebras, Commun. in Algebra 47 (2019), 2308-2340.

Brenner, Holger und Caminata, Alessio: Differential symmetric signature in high dimension, Proc. AMS 147 (2019), 4147-4159.

Brenner, Holger, Jeffries, Jack und Núñez-Betancourt, Luis: Quantifying singularities with differential operators, Advances in Mathematics 358 (2019), 89 p.

Batsukh, Bayarjargal und Brenner, Holger: Hilbert-Kunz multiplicity of binoids, J. of Commutative Algebra 13 (1) (2021), 1-27.

Brenner, Holger und Steinbuch, Jonathan: Tight closure and continuous closure, J. Algebra 571 (2021), 32-39.

Brenner, Holger und Steinbuch, Jonathan: Deciding stability of sheaves on curves, Int. J. Algebra Comput. 32 (4) (2022), 859-884.

Brenner, Holger: A Hilbert-Kunz proof of a theorem in invariant theory, in Vorbereitung (2012).

Brenner, Holger und Fischbacher-Weitz, Helena: Symmetric powers of vector bundles and Hilbert-Kunz theory, In Vorbereitung (2012).

Brenner, Holger und Blickle, Manuel: Submersions and integral closure, in Vorbereitung (2012).