Results 11 to 20 of about 114,940,612 (217)
An invitation to the positivity and geometry of algebraic cycles [PDF]
, 2022 The purpose of this work is an introduction and overview of geometric and numeric properties of algebraic cycles in smooth projective varieties. We recall or propose several problems, which we consider worth to study.
Szpond, Justyna
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On Higher Syzygies of Projective Toric Varieties [PDF]
, 2006 Let A be an ample line bundle on a projective toric variety X of dimension n (≥ 2). It is known that the d-th tensor power A⊗d embedds X as a projectively normal variety in Pr := P(H0(X,L⊗d)) if d ≥ n − 1.
Shoetsu Ogata, Ogata, Shoetsu
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A short history of algebraic statistics [PDF]
, 2008 In algebraic statistics, computational techniques from algebraic geometry become tools to address statistical problems. This, in turn, may prompt research in algebraic geometry. The basic ideas at the core of algebraic statistics will be presented. In
Eva Riccomagno, Riccomagno, Eva
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The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One [PDF]
, 2010 We study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto.
Lyons, Christopher Michael
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
, 2012 The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
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Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Calabi–Yau threefolds and moduli of abelian surfaces I [PDF]
, 2001 We describe birational models and decide the rationality/unirationality of moduli spaces $\cal A$d (and $\cal A$levd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d.
Sorin Popescu +3 more
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Extremal properties of line arrangements in the complex projective plane [PDF]
, 2019 In the present note we study some extreme properties of point-line configurations in the complex projective plane from a viewpoint of algebraic geometry.
Piotr Pokora, Pokora, Piotr
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Artificial Intelligence Meets Micro/Nanorobotics
Advanced Materials, EarlyView.Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever +6 more
wiley +1 more source
Frobenius techniques in birational geometry
, 2018 This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry.
Patakfalvi, Z +2 more
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