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Search: MSC category 14E30 ( Minimal model program (Mori theory, extremal rays) )

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1. CJM 2016 (vol 69 pp. 613)

Moon, Han-Bom
 Mori's Program for $\overline{M}_{0,7}$ with Symmetric Divisors We complete Mori's program with symmetric divisors for the moduli space of stable seven-pointed rational curves. We describe all birational models in terms of explicit blow-ups and blow-downs. We also give a moduli theoretic description of the first flip, which has not appeared in the literature. Keywords:moduli of curves, minimal model program, Mori dream spaceCategories:14H10, 14E30

2. CJM 2012 (vol 65 pp. 905)

Thompson, Alan
 Explicit Models for Threefolds Fibred by K3 Surfaces of Degree Two We consider threefolds that admit a fibration by K3 surfaces over a nonsingular curve, equipped with a divisorial sheaf that defines a polarisation of degree two on the general fibre. Under certain assumptions on the threefold we show that its relative log canonical model exists and can be explicitly reconstructed from a small set of data determined by the original fibration. Finally we prove a converse to the above statement: under certain assumptions, any such set of data determines a threefold that arises as the relative log canonical model of a threefold admitting a fibration by K3 surfaces of degree two. Keywords:threefold, fibration, K3 surfaceCategories:14J30, 14D06, 14E30, 14J28

3. CJM 1997 (vol 49 pp. 675)

de Cataldo, Mark Andrea A.
 Some adjunction-theoretic properties of codimension two non-singular subvarities of quadrics We make precise the structure of the first two reduction morphisms associated with codimension two non-singular subvarieties of non-singular quadrics $\Q^n$, $n\geq 5$. We give a coarse classification of the same class of subvarieties when they are assumed not to be of log-general-type.} Keywords:Adjunction Theory, classification, codimension two, conic bundles,, low codimension, non log-general-type, quadric, reduction, special, variety.Categories:14C05, 14E05, 14E25, 14E30, 14E35, 14J10
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