Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Artie Prendergast-Smith"'
Publikováno v:
Revista Matemática Complutense. 36:393-442
We compute the cones of effective divisors on blowups of $\mathbb{P}^1 \times \mathbb{P}^2$ and $\mathbb{P}^1 \times \mathbb{P}^3$ in up to 6 points. We also show that all these varieties are log Fano, giving a conceptual explanation for the fact tha
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::393dd10377e5d033892b22f80cf86e79
https://doi.org/10.1007/s13163-022-00425-2
https://doi.org/10.1007/s13163-022-00425-2
Autor:
Artie Prendergast-Smith
Publikováno v:
Transactions of the American Mathematical Society. 370:5359-5379
A Cayley octad is a set of 8 points in P3 which are the base locus of a net of quadrics. Blowing up the points of the octad gives a morphism to P2 defined by the net; the fibres of this morphism are intersections of two quadrics in the net, hence cur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e8507c7bde6bbfd4c0371b236ab397a
https://doi.org/10.1090/tran/7160
https://doi.org/10.1090/tran/7160
Autor:
Artie Prendergast-Smith, Izzet Coskun
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 166:1-31
The Morrison–Kawamata Cone Conjecture predicts that the action of the automorphism group on the effective nef cone and the action of the pseudo-automorphism group on the effective movable cone of a klt Calabi–Yau pair have rational, polyhedral fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe1ffd61104b0e2e1edcb957106d8698
https://doi.org/10.1017/s0305004117000676
https://doi.org/10.1017/s0305004117000676
Autor:
Artie Prendergast-Smith, Izzet Coskun
Publikováno v:
Communications in Algebra. 43:3083-3101
We compute the dimensions and cohomology classes of the loci on a general hypersurface where the second fundamental form has rank at most r. We also determine the number of hypersurfaces in a general pencil in ℙ n , with , that contain a point wher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbd79876b1fce4c9b3dca5811e9bc6fb
https://doi.org/10.1080/00927872.2014.910798
https://doi.org/10.1080/00927872.2014.910798
We compute cones of effective cycles on some blowups of projective spaces in general sets of lines.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80eca0133686dd126d3f2a123c6164db
Autor:
Artie Prendergast-Smith, Izzet Coskun
The Morrison-Kawamata cone conjecture predicts that the actions of the automorphism group on the effective nef cone and the pseudo-automorphism group on the effective movable cone of a klt Calabi-Yau pair $(X, \Delta)$ have finite, rational polyhedra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f56bad93dfb6d14c3e32bbd2aaac906
http://arxiv.org/abs/1207.4046
http://arxiv.org/abs/1207.4046
Publikováno v:
Glasgow Mathematical Journal 58 (2016), Nr. 3
In this note we study properties of partially ample line bundles on simplicial projective toric varieties. We prove that the cone of q-ample line bundles is a union of rational polyhedral cones, and calculate these cones in examples. We prove a restr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51aedf0376e8c8286a0b94345bd3b3f2
Autor:
Artie Prendergast-Smith
Publikováno v:
Michigan Math. J. 59, iss. 3 (2010), 535-572
We classify nets of quadrics in P^3 which give rise to elliptic fibrations of Mordell-Weil rank zero.
Comment: 36 pages; many typos fixed, exposition improved, last section removed
Comment: 36 pages; many typos fixed, exposition improved, last section removed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::726730bdc61a0e9745135e90c4f6e009
http://projecteuclid.org/euclid.mmj/1291213956
http://projecteuclid.org/euclid.mmj/1291213956
Autor:
Artie Prendergast-Smith
We prove some finiteness results on the movable cone for mildly singular 3-folds with semiample anticanonical bundle, giving some evidence for the Morrison--Kawamata cone conjecture for klt pairs.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a6df3c9a5cc455f3f4c651a8d5a70291