Birational geometry of rational quartic surfaces

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2020.07.007 ◽

2020 ◽

Vol 141 ◽

pp. 89-98

Author(s):

Massimiliano Mella

Keyword(s):

Birational Geometry ◽

Quartic Surfaces

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Ulrich bundles on quartic surfaces with Picard number 1

Comptes Rendus Mathematique ◽

10.1016/j.crma.2013.04.005 ◽

2013 ◽

Vol 351 (5-6) ◽

pp. 221-224 ◽

Author(s):

Emre Coskun

Keyword(s):

Picard Number ◽

Quartic Surfaces

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On the Brauer group of diagonal quartic surfaces

Journal of the London Mathematical Society ◽

10.1112/jlms/jdq083 ◽

2011 ◽

Vol 83 (3) ◽

pp. 659-672 ◽

Author(s):

Evis Ieronymou ◽

Alexei N. Skorobogatov ◽

Yuri G. Zarhin

Keyword(s):

Brauer Group ◽

Quartic Surfaces

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On Plücker's Models of certain Quartic Surfaces

Proceedings of the London Mathematical Society ◽

10.1112/plms/s1-3.1.281 ◽

1869 ◽

Vol s1-3 (1) ◽

pp. 281-285 ◽

Author(s):

Cayley

Keyword(s):

Quartic Surfaces

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Birational geometry of moduli of curves with an S3-cover

Advances in Mathematics ◽

10.1016/j.aim.2021.107898 ◽

2021 ◽

Vol 389 ◽

pp. 107898

Author(s):

Mattia Galeotti

Keyword(s):

Moduli Of Curves ◽

Birational Geometry

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Birational Geometry of Toric Varieties

Introduction to the Mori Program - Universitext ◽

10.1007/978-1-4757-5602-9_15 ◽

2002 ◽

pp. 413-454

Author(s):

Kenji Matsuki

Keyword(s):

Toric Varieties ◽

Birational Geometry

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Birational Geometry and Derived Categories

Springer Proceedings in Mathematics & Statistics - Superschool on Derived Categories and D-branes ◽

10.1007/978-3-319-91626-2_7 ◽

2018 ◽

pp. 77-92

Author(s):

Colin Diemer

Keyword(s):

Derived Categories ◽

Birational Geometry

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Kähler-Einstein metrics, canonical random point processes and birational geometry

Algebraic Geometry: Salt Lake City 2015 - Proceedings of Symposia in Pure Mathematics ◽

10.1090/pspum/097.1/02 ◽

2018 ◽

pp. 29-73

Author(s):

Robert Berman

Keyword(s):

Point Processes ◽

Einstein Metrics ◽

Random Point ◽

Birational Geometry ◽

Kähler Einstein Metrics

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Kähler–Einstein metrics, canonical random point processes and birational geometry

Algebraic Geometry: Salt Lake City 2015 - Proceedings of Symposia in Pure Mathematics ◽

10.1090/pspum/097.1/01669 ◽

2018 ◽

pp. 29-73

Author(s):

Robert Berman

Keyword(s):

Point Processes ◽

Einstein Metrics ◽

Random Point ◽

Birational Geometry ◽

Kähler Einstein Metrics

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Perverse schobers and birational geometry

Selecta Mathematica ◽

10.1007/s00029-018-0395-1 ◽

2018 ◽

Vol 24 (1) ◽

pp. 85-143 ◽

Author(s):

Alexey Bondal ◽

Mikhail Kapranov ◽

Vadim Schechtman

Keyword(s):

Birational Geometry

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COUNTEREXAMPLES TO THE HASSE PRINCIPLE IN FAMILIES

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972721000885 ◽

2021 ◽

pp. 1-10

Author(s):

NGUYEN XUAN THO

Keyword(s):

Hasse Principle ◽

Quartic Surfaces

Abstract We generalise two quartic surfaces studied by Swinnerton-Dyer to give two infinite families of diagonal quartic surfaces which violate the Hasse principle. Standard calculations of Brauer–Manin obstructions are exhibited.

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