scholarly journals Vanishing of the higher direct images of the structure sheaf

2015 ◽  
Vol 151 (11) ◽  
pp. 2131-2144 ◽  
Author(s):  
Andre Chatzistamatiou ◽  
Kay Rülling
Keyword(s):  
Structure Sheaf ◽  
Projective Morphism

We prove that the higher direct images of the structure sheaf under a birational and projective morphism between excellent and regular schemes vanish.

Separable monoids in Dqc (X)

2018 ◽  
Vol 2018 (738) ◽  
pp. 237-280 ◽  
Author(s):  
Amnon Neeman
Keyword(s):  
Triangulated Category ◽  
Noetherian Scheme ◽  
Structure Sheaf ◽  
Tensor Triangulated Category

AbstractSuppose{({\mathscr{T}},\otimes,\mathds{1})}is a tensor triangulated category. In a number of recent articles Balmer defines and explores the notion of “separable tt-rings” in{{\mathscr{T}}}(in this paper we will call them “separable monoids”). The main result of this article is that, if{{\mathscr{T}}}is the derived quasicoherent category of a noetherian schemeX, then the only separable monoids are the pushforwards by étale maps of smashing Bousfield localizations of the structure sheaf.

A structure sheaf on noetherian rings

1994 ◽  
Vol 22 (9) ◽  
pp. 3511-3530
Author(s):  
J.L. Bueso ◽  
P. Jara ◽  
L. Merino
Keyword(s):  
Noetherian Rings ◽  
Structure Sheaf

scholarly journals Dynamical construction of Kähler-Einstein metrics

2010 ◽  
Vol 199 ◽  
pp. 107-122
Author(s):  
Hajime Tsuji
Keyword(s):  
Einstein Metrics ◽  
Projective Variety ◽  
Smooth Projective Variety ◽  
Einstein Metric ◽  
Canonical Bundle ◽  
General Fiber ◽  
New Construction ◽  
Kähler Einstein Metrics ◽  
Singular Hermitian Metric ◽  
Projective Morphism

AbstractIn this article, we give a new construction of a Kähler-Einstein metric on a smooth projective variety with ample canonical bundle. As a consequence, for a dominant projective morphismf:X→Swith connected fibers such that a general fiber has an ample canonical bundle, and for a positive integerm, we construct a canonical singular Hermitian metrichE,monwith semipositive curvature in the sense of Nakano.

scholarly journals On relative base point freeness of adjoint bundle

1997 ◽  
Vol 146 ◽  
pp. 185-197
Author(s):  
Shigeharu Takayama
Keyword(s):  
Line Bundle ◽  
Ample Line Bundle ◽  
Base Point ◽  
Adjoint Bundle ◽  
Projective Morphism ◽  
Effective Result

Abstract.We give an effective result on the relative base point freeness of an adjoint bundle for a pair of a projective morphism and a relatively ample line bundle.

scholarly journals Formality of -objects

2019 ◽  
Vol 155 (5) ◽  
pp. 973-994
Author(s):  
Andreas Hochenegger ◽  
Andreas Krug
Keyword(s):  
Projective Variety ◽  
Smooth Projective Variety ◽  
Complex Numbers ◽  
Cohomology Algebra ◽  
Triangulated Category ◽  
Endomorphism Algebra ◽  
Structure Sheaf

We show that a$\mathbb{P}$-object and simple configurations of$\mathbb{P}$-objects have a formal derived endomorphism algebra. Hence the triangulated category (classically) generated by such objects is independent of the ambient triangulated category. We also observe that the category generated by the structure sheaf of a smooth projective variety over the complex numbers only depends on its graded cohomology algebra.

On the structure sheaf associated to a finite algebra

1995 ◽  
Vol 23 (2) ◽  
pp. 777-782
Author(s):  
J. L. Bueso ◽  
P. Jara ◽  
A. Verschoren
Keyword(s):  
Finite Algebra ◽  
Structure Sheaf
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