projective normality
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2020 ◽  
Vol 224 (10) ◽  
pp. 106389
Author(s):  
Arpita Nayek ◽  
S.K. Pattanayak ◽  
Shivang Jindal


2020 ◽  
Vol 224 (10) ◽  
pp. 106383
Author(s):  
Jayan Mukherjee ◽  
Debaditya Raychaudhury






2018 ◽  
Vol 2020 (17) ◽  
pp. 5401-5427 ◽  
Author(s):  
Syu Kato

Abstract We explain that the Plücker relations provide the defining equations of the thick flag manifold associated to a Kac–Moody algebra. This naturally transplants the result of Kumar–Mathieu–Schwede about the Frobenius splitting of thin flag varieties to the thick case. As a consequence, we provide a description of the space of global sections of a line bundle of a thick Schubert variety as conjectured in Kashiwara–Shimozono [13]. This also yields the existence of a compatible basis of thick Demazure modules and the projective normality of the thick Schubert varieties.



2017 ◽  
Vol 153 (2) ◽  
pp. 347-357
Author(s):  
Michael Kemeny

We prove the Green–Lazarsfeld secant conjecture [Green and Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986), 73–90; Conjecture (3.4)] for extremal line bundles on curves of arbitrary gonality, subject to explicit genericity assumptions.



2017 ◽  
Vol 469 ◽  
pp. 251-266 ◽  
Author(s):  
Biswajit Rajaguru ◽  
Lei Song


2016 ◽  
Vol 45 (7) ◽  
pp. 2996-3004
Author(s):  
Pallav Goyal ◽  
S. K. Pattanayak


2016 ◽  
Vol 20 (3) ◽  
pp. 39-93 ◽  
Author(s):  
Paolo Bravi ◽  
Jacopo Gandini ◽  
Andrea Maffei
Keyword(s):  


2015 ◽  
Vol 15 (3) ◽  
Author(s):  
Andreas Leopold Knutsen ◽  
Angelo Felice Lopez

AbstractWe give necessary and sufficient criteria for a smooth Enriques surface S ⊂ ℙ



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