Journal ArticleDOI
Fano 3-FOLDS. I
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In this paper, a classification of Fano 3-folds is given, and a description of the projective models of the 3-fold Fano models of index r ≥ 2.Abstract:
This article contains a classification of special Fano varieties; we give a description of the projective models of Fano 3-folds of index r ≥ 2 and of hyperelliptic Fano 3-folds.Bibliography: 31 titles.read more
Citations
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Book
Classical Algebraic Geometry: A Modern View
TL;DR: In this paper, the authors present a survey of the geometry of lines and cubic surfaces, including determinantal equations, theta characteristics, and the Cremona transformations.
Journal ArticleDOI
Building a better racetrack
TL;DR: In this article, the authors find IIb compactifications on Calabi-Yau orientifolds in which all Kahler moduli are stabilized, along lines suggested by Kachru, Kallosh, Linde and Trivedi.
Proceedings ArticleDOI
Minimal Models of Canonical 3-Folds
TL;DR: Theorem (2.6) is based on the Brieskorn-Tyurina result on the existence of simultaneous resolutions of a family of Du Val surface singularities, together with the elementary transformations in $(-2)$-curves of Burns and Rapoport as discussed by the authors.
Journal ArticleDOI
Threefolds whose canonical bundles are not numerically effective
TL;DR: A characterization of an arbitrary nonsingular projective 3-fold whose canonical bundle is not numerically effective and which contains an exceptional divisor of several types, which is classified explicitly.
Journal ArticleDOI
Classification of Fano 3-folds with B2≥2
TL;DR: The classification of Fano 3-folds with B2≥2 is studied in this paper, where the second Betti number of a 3-fold is not greater than 10.
References
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Lectures on curves on an algebraic surface
David Mumford,George M. Bergman +1 more
TL;DR: In this paper, Mumford's lecture on algebraic geometry is devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic.
Journal ArticleDOI
The intermediate Jacobian of the cubic threefold
TL;DR: JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive.
Journal ArticleDOI
Variétés de Prym et jacobiennes intermédiaires
TL;DR: The article as discussed by the authors implique l'accord avec les conditions générales d'utilisation ( http://www.dma.org/ legal.php).