Results 31 to 40 of about 722 (135)
Vanishing theorems on toric varieties [PDF]
We use Cox's description for sheaves on toric varieties and results about the local cohomology with respect to monomial ideals to give a characteristic free approach to vanishing results on arbitrary toric varieties. As an application, we give a proof of a strong form of Fujita's conjecture in the case of toric varieties. We also prove that every sheaf
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Inflections of toric varieties.
The study of the inflectional behavior of varieties is a classical topic in algebraic geometry. In the paper under review, the author investigates in detail the case of smooth projective toric varieties \(X\), embedded by a toric map \(v: X\to \mathbb{P}^n\) into the projective space.
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A geometric characterization of toric varieties [PDF]
We prove a conjecture of Shokurov which characterises toric varieties using log pairs.
Morgan V. Brown +3 more
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Sheaves on toric varieties for physics [PDF]
83 pages, LaTeX, 4 figures, must run LaTeX 3 times, numerous minor cosmetic ...
Knutson, Allen, Sharpe, Eric
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ABSTRACT I defend the non‐instrumentalist thesis that every adult member of a political society has a pro tanto fundamental moral right to an equal democratic say in determining the content of the laws to which she is subject. I begin by giving an account of an important kind of servility that has received only glancing notice in philosophical ...
Shruta Swarup
wiley +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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ABSTRACT Background Emergence delirium (ED) is a common complication in pediatric anesthesia. Although intranasal dexmedetomidine (DEX) is widely used, its application is constrained by a slow onset, residual risk of ED in some patients, and risks such as bradycardia and hypotension.
Munder Lateiresh +5 more
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Secant varieties of toric varieties
v1, AMS LaTex, 5 figures, 25 pages; v2, reference added; v3, This is a major rewrite. We have strengthened our main results to include a classification of smooth lattice polytopes P such that Sec X_P does not have the expected dimension. (See Theorems 1.4 and 1.5.) There was also a considerable amount of reorganization, and some expository material was
Cox, David, Sidman, Jessica
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Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley +1 more source
Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
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