Benutzer:Holger Brenner/Publikationen/latex
Nahezu alle meine Arbeiten kann man im arXiv runterladen.
Link zu Artikeln im arXiv und im Zentralblatt.
\zwischenueberschrift{Schriftenverzeichnis}
Brenner, Holger:
\betonung{Ein überabzählbares, über $\Q$ linear unabhängiges System reeller Zahlen}{,} Math. Semesterberichte 39 (1) (1992), 89-93.
Brenner, Holger:
\betonung{Topologische und algebraische Filter}{,} Diplomarbeit, Ruhr-Universität Bochum, 1994.
Brenner, Holger:
\betonung{Zur Affinität von Hyperflächenkomplementen in affinen und projektiven Schemata}{,} Dissertation, Ruhr-Universität Bochum, 1999.
Brenner, Holger:
\betonung{Eine vollständige Formalisierung der aristotelischen Notwendigkeitssyllogistik}{,} in: Beiträge zum Satz vom Widerspruch und zur Aristotelischen Prädikationstheorie, Hildesheim (2000), 333-356.
Brenner, Holger:
\betonung{Rings of global sections in two-dimensional schemes}{,} Beiträge Algebra Geometrie 42 (2) (2001), 443-450.
Brenner, Holger:
\betonung{On superheight conditions for the affineness of open subsets}{,} J. Algebra 247 (1) (2002), 37-56.
Brenner, Holger:
\betonung{The affine class group of a normal scheme}{,} Comm. Algebra 31 (6) (2003), 2849-2867.
Brenner, Holger:
\betonung{Lifting chains of prime ideals}{,} J. Pure Appl. Algebra 179 (1-2) (2003), 1-5.
Brenner, Holger und Schröer, Stefan:
\betonung{Ample families, multihomogeneous spectra, and algebraization of formal schemes}{,} Pacific J. Math. 208 (2) (2003), 209-230.
Brenner, Holger:
\betonung{The theory of tight closure from the viewpoint of vector bundles}{,} Habilitationsschrift, Ruhr-Universität Bochum, 2003.
Brenner, Holger:
\betonung{Tight closure and projective bundles}{,} J. Algebra 265 (2003), 45-78.
Brenner, Holger:
\betonung{How to rescue solid closure}{,} J. Algebra 265 (2003), 579-605.
Brenner, Holger:
\betonung{Slopes of vector bundles on projective curves and applications to tight closure problems}{,} Trans. Amer. Math. Soc. 356 (1) (2004), 371-392.
Brenner, Holger:
\betonung{A class of counter-examples to the hypersection problem based on forcing equations}{,} Arch. Math. 82 (6) (2004), 564-569.
Brenner, Holger:
\betonung{A characteristic zero Hilbert-Kunz criterion for solid closure in dimension two}{,} Math. Res. Lett. 11 (5-6) (2004), 563-574.
Brenner, Holger:
\betonung{Tight closure and plus closure for cones over elliptic curves}{,} Nagoya Math. J. 177 (2005), 31-45.
Brenner, Holger:
\betonung{Computing the tight closure in dimension two}{,} Math. Comput. 74 (251) (2005), 1495-1518.
Brenner, Holger:
\betonung{There is no Bogomolov type restriction theorem for strong semistability in positive characteristic}{,} Proc. Amer. Math. Soc. 133 (7) (2005), 1941-1947.
Brenner, Holger:
\betonung{On a problem of Miyaoka}{,} in: Number fields and function fields - two parallel worlds, Birkhäuser Boston (2005), 51-59.
Brenner, Holger:
\betonung{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:
\betonung{Restriction of the cotangent bundle to elliptic curves and Hilbert-Kunz functions}{,} Manuscripta Math. 119 (1) (2006), 17-36.
Brenner, Holger:
\betonung{The rationality of the Hilbert-Kunz multiplicity in graded dimension two}{,} Math. Ann. 334 (1) (2006), 91-110.
Brenner, Holger:
\betonung{Tight closure and plus closure in dimension two}{,} Amer. J. Math. 128 (2006), 531-539.
Brenner, Holger:
\betonung{Bounds for test exponents}{,} Compos. Math. 142 (2) (2006), 451-463.
Brenner, Holger und Katzman, Mordechai:
\betonung{On the arithmetic of tight closure}{,} J. Amer. Math. Soc. 19 (3) (2006), 659-672.
Brenner, Holger:
\betonung{Continuous solutions to algebraic forcing equations}{,} ArXiv (2006).
Brenner, Holger:
\betonung{Grothendieck topologies and ideal closure operations}{,} ArXiv (2006).
Brenner, Holger, Kaid, Almar und Storch, Uwe:
\betonung{Unitarily graded field extensions}{,} Acta Arith. 126 (1) (2007), 77-98.
Brenner, Holger:
\betonung{The Hilbert-Kunz function in graded dimension two}{,} Comm. Algebra 35 (10) (2007), 3199-3213.
Brenner, Holger und Kaid, Almar:
\betonung{Syzygy bundles on ${\mathbb P}^2$ and the weak Lefschetz property}{,} Illinois J. Math. 51 (4) (2007), 1299-1308.
Brenner, Holger:
\betonung{Looking out for stable syzygy bundles}{,} Adv. Math. 219 (2) (2008), 401-427.
Brenner, Holger:
\betonung{Tight closure and vector bundles}{,} in: Three lectures on commutative algebra, Amer. Math. Soc. Providence (2008), 1-71.
Brenner, Holger und Kaid, Almar:
\betonung{On deep Frobenius descent and flat bundles}{,} Math. Res. Lett. 15 (6) (2008), 1101-1115.
Brenner, Holger und Kaid, Almar:
\betonung{A remark on Frobenius descent for vector bundles}{,} Michigan Math. J. 57 (2008), 63-69.
Brenner, Holger und Monsky, Paul:
\betonung{Tight closure does not commute with localization}{,} Ann. of Math. (2) 171 (1) (2010), 571-588.
Brenner, Holger:
\betonung{Forcing algebras, syzygy bundles, and tight closure}{,} in: Commutative Algebra: Noetherian and non-Noetherian Perspectives, Springer (2010).
Brenner, Holger und Kaid, Almar:
\betonung{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:
\betonung{Generic bounds for Frobenius closure and tight closure}{,} Amer. J. Maths. 133 (4) (2011), 889-912.
Brenner, Holger und Stäbler, Axel:
\betonung{Dagger closure in regular rings containing a field}{,} J. Algebra 370 (2012), 176-185.
Brenner, Holger, Li, Jinjia und Miller, Claudia:
\betonung{A direct limit for limit Hilbert-Kunz multiplicity for smooth projective curves}{,} Journal of Algebra 372 (2012), 488-504.
Brenner, Holger:
\betonung{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:
\betonung{An explicit example of Frobenius periodicity}{,} J. Pure Applied Algebra 217 (8) (2013), 1412-1420.
Brenner, Holger und Stäbler, Axel:
\betonung{Dagger closure and solid closure in graded dimension two}{,} Transactions AMS 365 (11) (2013), 5883-5910.
Brenner, Holger und Stäbler, Axel:
\betonung{On the behaviour of strong semistability in geometric deformations}{,} Illinois J. Math. 57 (2) (2013), 325-341.
Brenner, Holger:
\betonung{Irrational Hilbert-Kunz multiplicities}{,} ArXiv (2013).
Brenner, Holger und Gómez-Ramírez, Danny de Jesús:
\betonung{On the connectedness of the spectrum of forcing algebras}{,} Revista Colombiana de Matemáticas 48 (1) (2014), 1-19.
Brenner, Holger:
\betonung{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:
\betonung{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:
\betonung{Normality and related properties of forcing algebras}{,} Commun. Algebra 44 (11) (2016), 4769-4793.
Brenner, Holger und Caminata, Alessio:
\betonung{The symmetric signature}{,} Commun. Algebra 45 (9) (2017), 3730-3756.
Brenner, Holger und Caminata, Alessio:
\betonung{Generalized Hilbert-Kunz function in graded dimension two}{,} Nagoya Math. J. 230 (2018), 1-17.
Alberelli, Davide und Brenner, Holger:
\betonung{Local Picard Group of Pointed Monoids and Their Algebras}{,} Commun. in Algebra 47 (2019), 2308-2340.
Brenner, Holger und Caminata, Alessio:
\betonung{Differential symmetric signature in high dimension}{,} Proc. AMS 147 (2019), 4147-4159.
Brenner, Holger, Jeffries, Jack und Núñez-Betancourt, Luis:
\betonung{Quantifying singularities with differential operators}{,} Advances in Mathematics 358 (2019), 89 p.
Batsukh, Bayarjargal und Brenner, Holger:
\betonung{Hilbert-Kunz multiplicity of binoids}{,} J. of Commutative Algebra 13 (1) (2021), 1-27.
Brenner, Holger und Steinbuch, Jonathan:
\betonung{Tight closure and continuous closure}{,} J. Algebra 571 (2021), 32-39.
Brenner, Holger und Steinbuch, Jonathan:
\betonung{Deciding stability of sheaves on curves}{,} Int. J. Algebra Comput. 32 (4) (2022), 859-884.
Brenner, Holger:
\betonung{A Hilbert-Kunz proof of a theorem in invariant theory}{,} in Vorbereitung (2012).
Brenner, Holger und Fischbacher-Weitz, Helena:
\betonung{Symmetric powers of vector bundles and Hilbert-Kunz theory}{,} In Vorbereitung (2012).
Brenner, Holger und Blickle, Manuel:
\betonung{Submersions and integral closure}{,} in Vorbereitung (2012).