Publications

Adrian Langer

Number of publications: 46

2024

• Adrian Langer , Bogomolov’s inequality and Higgs sheaves on normal varieties in positive characteristic, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 0 (0) 2024. See in PBN

2023

• Adrian Langer , On algebraic Chern classes of flat vector bundles, Manuscripta Mathematica, 2023. See in PBN

2022

• Adrian Langer , Nearby cycles and semipositivity in positive characteristic, Journal of the European Mathematical Society, 24 (11) 2022, p. 3829-3872. See in PBN
• Adrian Langer , On boundedness of semistable sheaves, Documenta Mathematica, 27 2022, p. 1-16. See in PBN
• Mihai Fulger, Adrian Langer , Positivity vs. slope semistability for bundles with vanishing discriminant, Journal of Algebra, 609 2022, p. 657-687. See in PBN

2021

• Christopher D. Hacon, Adrian Langer , On birational boundedness of foliated surfaces, JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2021 (770) 2021, p. 205-229. See in PBN
• Adrian Langer , On Smooth Projective D-Affine Varieties, International Mathematics Research Notices, 2021 (15) 2021, p. 11889-11922. See in PBN

2019

• Adrian Langer , Birational geometry of compactifications of Drinfeld half-spaces over a finite field, Advances in Mathematics, 345 2019, p. 861-908. See in PBN

2018

• Adrian Langer , Lifting zero-dimensional schemes and divided powers, Bulletin of the London Mathematical Society, 50 (3) 2018, p. 449–461. See in PBN
• Adrian Langer , Carlos Simpson, Rank 3 rigid representations of projective fundamental groups, COMPOSITIO MATHEMATICA, 157 (7) 2018, p. 1534-1570. See in PBN

2016

• Adrian Langer , The Bogomolov--Miyaoka--Yau inequality for logarithmic surfaces in positive characteristic, Duke Mathematical Journal, 2016. See in PBN

2015

• Adrian Langer , Bogomolov's inequality for Higgs sheaves in positive characteristic, Inventiones Mathematicae, 2015. See in PBN
• Adrian Langer , Generic positivity and foliations in positive characteristic, Advances in Mathematics, 2015. See in PBN

2014

• Adrian Langer , Semistable modules over Lie algebroids in positive characteristic, Documenta Mathematica, 19 2014, p. 509-540. See in PBN

2013

• Adrian Langer , Moduli spaces of principal bundles on singular varieties, Kyoto Journal of Mathematics, 2013. See in PBN
• Adrian Langer , Nef line bundles over finite fields, International Mathematics Research Notices, 15 2013, p. 3490-3508. See in PBN
• Adrian Langer , Helene Esnault, On a positive equicharacteristic variant of the p-curvature conjecture, Documenta Mathematica, 18 2013, p. 23-50. See in PBN
• Adrian Langer , On positivity and semistability of vector bundles in finite and mixed characteristics, J. Ramanujan Math. Soc., 28A 2013, p. 287-309. See in PBN

2012

• Adrian Langer , On the S-fundamental group scheme II, Journal of the Institute of Mathematics of Jussieu, 2012. See in PBN

2011

• Marcin Hauzer, Adrian Langer , Moduli spaces of framed perverse instantons on P^3, Glasgow Mathematical Journal, 2011. See in PBN
• Adrian Langer , On the S-fundamental group scheme, Annales de l'Institut Fourier, 2011. See in PBN

2010

• Adrian Langer , A note on restriction theorems for semistable sheaves, Mathematical Research Letters, 2010. See in PBN
• Adrian Langer , Erratum to ,,D-affinity and frobenius morphism on quadrics, International Mathematics Research Notices, 2010. See in PBN

2009

• T. Gomez, Adrian Langer , A. Schmitt, I. Sols, Moduli spaces for principal bundles in large characteristic, 2009. See in PBN
• Adrian Langer , Moduli spaces of sheaves and principal G-bundles, 2009. See in PBN

2008

• Adrian Langer , D-affinity and Frobenius morphism on quadrics, International Mathematics Research Notices, 2008. See in PBN
• Tomas Gomez, Adrian Langer , Alexander Schmitt, Ignacio Sols, Moduli spaces for principal boundles in arbitrary characteristic, Advances in Mathematics, 2008. See in PBN

2007

• Adrian Langer , Lectures on torsion-free sheaves and their moduli, 2007. See in PBN

2006

• Adrian Langer , Moduli spaces and Castelnuovo-Mumford regularity of sheaves on surfaces, American Journal of Mathematics, 2006. See in PBN

2005

• Adrian Langer , Semistable principal g-bundles in positive characteristic, Duke Mathematical Journal, 2005. See in PBN

2004

• Adrian Langer , Addendum to "Semistable sheaves in positive characteristic", Annals of Mathematics, 2004. See in PBN
• Adrian Langer , Moduli spaces of sheaves in mixed characteristic, Duke Mathematical Journal, 2004. See in PBN
• Adrian Langer , Semistable sheaves in positive characteristic, Annals of Mathematics, 2004. See in PBN

2003

• Adrian Langer , Logarithmic orbifold Euler numbers of surfaces with applications, Proceedings of the London Mathematical Society, 2003. See in PBN
• Adrian Langer , Program Langlandsa według Lafforgue'a, Roczniki Polskiego Towarzystwa Matematycznego. Seria 2: Wiadomości Matematyczne, 2003. See in PBN

2002

• Adrian Langer , A note on Bogomolovs instability and Higgs sheaves, 2002. See in PBN

2001

• Adrian Langer , Adjoint linear systems on normal log surfaces, COMPOSITIO MATHEMATICA, 2001. See in PBN
• Adrian Langer , The Bogomolov-Miyaoka-Yau inequality for log canonical surfaces, Journal of the London Mathematical Society, 2001. See in PBN

2000

• Adrian Langer , Adjoint linear systems on normal surfaces, II, JOURNAL OF ALGEBRAIC GEOMETRY, 2000. See in PBN
• Adrian Langer , Chern classes of reflexive sheaves on normal surfaces, Mathematische Zeitschrift, 2000. See in PBN
• Adrian Langer , Pluricanonical systems on surfaces with small Kś2, International Journal of Mathematics, 2000. See in PBN

1999

• Adrian Langer , A note on $k$-jet ampleness on surfaces, Algebraic Geometry: Hirzebruch 70, 1999. See in PBN
• Adrian Langer , Adjoint linear systems on normal surfaces, JOURNAL OF ALGEBRAIC GEOMETRY, 1999. See in PBN

1998

• Adrian Langer , Fano $4$-folds with scroll structure, Nagoya Mathematical Journal, 1998. See in PBN
• Adrian Langer , On twistor curves of small degree, Quarterly Journal of Mathematics, 1998. See in PBN

1997

• Adrian Langer , Fano schemes of linear spaces on hypersurfaces, Manuscripta Mathematica, 1997. See in PBN