Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Robert Lazarsfeld"'
Autor:
Junyan Cao, Ya Deng, Jian Xiao, Sébastien Boucksom, Christine Laurent-Thiébaut, Robert Lazarsfeld, Takeo Ohsawa, Mihai Păun, Thomas Peternell, Yum-Tong Siu, Henri Skoda, Valentino Tosatti, Claire Voisin, Xiangyu Zhou
Publikováno v:
Notices of the American Mathematical Society. 70:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cf2d3efb3498876e2c26cf2c7e0797e
https://doi.org/10.1090/noti2691
https://doi.org/10.1090/noti2691
We prove bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example, we show that a classical statement due to Macualay for zero-dimensional complete intersection ideals holds f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f87b1513b32e69ea8b5ca14abab34ed8
http://arxiv.org/abs/2104.01218
http://arxiv.org/abs/2104.01218
Autor:
Robert Lazarsfeld
Publikováno v:
Einstein metrics and Yang-Mills connections
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::392c9fbbfaf8720588e44a11443e4fff
https://doi.org/10.1201/9781003071891-9
https://doi.org/10.1201/9781003071891-9
Autor:
Lawrence Ein, Robert Lazarsfeld
Publikováno v:
Algebraic Geometry: Salt Lake City 2015. :223-242
This paper is a survey of recent work on the asymptotic behavior of the syzygies of a smooth complex projective variety as the positivity of the embedding line bundle grows. After a quick overview of results from the 1980s and 1990s concerning the li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a8096f478f5f1493c713b21cc972af7
https://doi.org/10.1090/pspum/097.1/01674
https://doi.org/10.1090/pspum/097.1/01674
Publikováno v:
Compositio Mathematica. 153:2368-2393
We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of projective space, and the minimal gonality of a covering family of curves.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8dd02efb623ee7bdbd202c2f846a4a7
https://doi.org/10.1112/s0010437x17007436
https://doi.org/10.1112/s0010437x17007436
Autor:
Lawrence Ein, Robert Lazarsfeld
This is an introduction, aimed at a general mathematical audience, to recent work of Aprodu, Farkas, Papadima, Raicu and Weyman. These authors established a long-standing folk conjecture concerning the equations defining the tangent developable surfa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2319705be083e59af387c469aecf851
http://arxiv.org/abs/1906.05429
http://arxiv.org/abs/1906.05429
Autor:
Lawrence Ein, Robert Lazarsfeld
Publikováno v:
European Journal of Mathematics.
The Konno invariant of a projective variety X is the minimum geometric genus of the fiber of a rational pencil on X. It was computed by Konno for surfaces in $${\mathbf {P}}^3$$, and in general can be viewed as a measure of the complexity of X. We es
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62e9894917455c7fea4cd1a25c86096a
https://doi.org/10.1007/s40879-019-00322-x
https://doi.org/10.1007/s40879-019-00322-x
Autor:
Robert Lazarsfeld
This is a write-up of introductory remarks that I made at the UIC conference in honor of Lawrence Ein's 60th birthday. It presents an informal survey of some of Ein's work, interspersed with stories and reminiscences.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71a601bab6012c5ea64abcecf4746d31
Autor:
Robert Lazarsfeld
Publikováno v:
Notices of the American Mathematical Society. 66:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42dd04a70252e6b990297ced9c40b5ac
https://doi.org/10.1090/noti1768
https://doi.org/10.1090/noti1768