Semiample bertini theorems over finite fields
WebBERTINI THEOREMS OVER FINITE FIELDS BJORN POONEN Abstract. Let X be a smooth quasiprojective subscheme of Pn of dimension m ≥ 0 over F q. Then there exist homogeneous polynomials f over F q for which the intersection of X and the hypersurface f = 0 is smooth. In fact, the set of such f has a positive density, equal to ζ X(m + 1)−1, where ... WebSep 24, 2012 · Semiample Bertini theorems over finite fields arXiv Authors: Daniel Erman Melanie Matchett Wood Abstract We prove a semiample generalization of Poonen's …
Semiample bertini theorems over finite fields
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WebDOI: 10.1016/J.JPAA.2016.05.027 Corpus ID: 119638824; Random hypersurfaces and embedding curves in surfaces over finite fields @article{Gunther2015RandomHA, title={Random hypersurfaces and embedding curves in surfaces over finite fields}, author={Joseph Gunther}, journal={arXiv: Number Theory}, year={2015} } WebJan 7, 2024 · Sharp Bertini Theorem for Plane Curves over Finite Fields Part of: Arithmetic algebraic geometry Curves Projective and enumerative geometry Published online by …
WebFeb 7, 2024 · These results are about Bertini theorems for hypersurfaces in a variety. This can be proved using the smoothness theorem fibers of a morphism, but isn't the same … WebWe prove a semiample generalization of Poonen’s Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. The …
WebAbstract: We give the distribution of points on smooth superelliptic curves over a fixed finite field, as their degree goes to infinity. We also give the distribution of points on smooth m -fold cyclic covers of the line, for any m, as the degree … WebWe prove a semiample generalization of Poonen's Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. The probability of smoothness is computed as a product of local probabilities taken over the fibers of the morphism determined by the relevant divisor. We give several applications including a …
WebWe prove a semiample generalization of Poonen's Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. The probability …
WebMay 1, 2024 · SEMIAMPLE BERTINI THEOREMS OVER FINITE FIELDS DANIEL ERMAN AND MELANIE MATCHETT WOOD Abstract. We prove a semiample generalization of Poonen’s Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. The probability of smoothness is computed as a product of local … happy birthday to a longtime friendhttp://www-math.mit.edu/%7Epoonen/papers/bertini.pdf happy birthday to a long lost friendWebJan 18, 2024 · This blog aim to give some remarks and complete some details in this book (Kollar and Mori’s Birational Geometry of Algebraic Varieties). I will read first five chapters of this book. This is the second blog which about chapter 3. happy birthday to ameliaWebSep 24, 2012 · Abstract: We prove a semiample generalization of Poonen's Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of … happy birthday to a muslim friendWebJan 15, 2015 · Semiample Bertini theorems over finite fields Daniel Erman, Melanie Matchett Wood Duke Math. J. 164 (1), 1-38, (15 January 2015) DOI: 10.1215/00127094 … chalet heachamWebSemiample Bertini theorems over finite fields, with Daniel Erman, Duke Mathematical Journal 164 (2015), no. 1, 1-38. old arxiv preprint. This paper gives the probability that a section of nA+dE is smooth, where A and E are a very ample and globally generated (respectively) divisor on a fixed variety over a finite field, as d goes to infinity. chalet harringtonWebNov 19, 2012 · We prove a semiample generalization of Poonen's Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. happy birthday to a lovely lady