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Showing 1 to 9 of 9 for “"del pezzo surfaces"”.
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Dynamic alpha-invariants of del Pezzo surfaces with boundary
… we compute the global log canonical threshold of del Pezzo surfaces in various settings. We extend Cheltsov's computation of the global log canonical threshold of complex del Pezzo surfaces to non-singular del Pezzo surfaces over a ground field which is algebraically closed and has arbitrary …
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The Severi problem for rational curves on del Pezzo surfaces
… VC are irreducible in the case where X is a del Pezzo surface of degree at least two. If the degree of X is one, then we prove the same result only for a general X, with the exception of V-KX, where KX is the canonical divisor of X. It is well known that for general del Pezzo surface of …
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Del Pezzo surfaces with irregularity and intersection numbers on quotients in geometric invariant theory
… I, we construct the first examples of regular del Pezzo surfaces for which the first cohomology group of the structure sheaf is nonzero. Such surfaces, which only exist over imperfect fields, arise as generic fibres of fibrations of singular del Pezzo surfaces in positive characteristic whose …
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Notes on Some (0,2) Supersymmetric Theories in Two Dimensions
… of two-dimensional (0,2) gauged linear sigma models (GLSMs) are constructed for various spaces including Grassmannians, complete intersections in Grassmannians, and non-complete intersections such as Pfaffians. Generalizations of (2,2) Toda dual theories to (0,2) Toda-like theories are also …
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Phantoms and Exceptional Collections on Rational Surfaces
… exceptional collections on smooth projective surfaces. Any rational surface over an algebraically closed field admits a full exceptional collection. We extend certain classification results regarding exceptional collections, previously known for del Pezzo surfaces, to the blow-up of the …
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Real Algebraic Geometry of the Sextic Curves
… of plane sextics, the construction of quartic surfaces with prescribed topology, and the avoidance locus, which is the locus of all real lines that do not meet a given plane curve. In the case of space sextics, a classical construction relates an important family of these genus 4 curves to the …
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Convergence of the mirror to a rational elliptic surface
… formulae for the mirror families to low degree del Pezzo surfaces. In the second project we treat the remaining case of a negative semi-definite intersection matrix, corresponding to S being a rational elliptic surface and D a rational fibre. Using intuition from the first project we prove in …
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A Bayesian approach to computing Brauer groups of cubic surfaces
… for computing the Brauer groups of cubic surfaces. The algorithm takes as input an equation for a cubic surface X and a confidence threshold 0.5 < r < 1 and outputs a candidate for the Brauer group of X and a confidence level > r for the result. The algorithm runs by sampling lifts of …
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Local enumerative invariants of some Gorenstein surfaces and orbifolds
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-12-04 without embargo terms