Add to ORKGThis paper is concerned with a method based on birational geometry and pro-duces dozens of new examples in codimensions 3, 4, 5 etc. The method is called unprojection by Reid. Using this method we construct new examples of K3 surfaces of codimensions 3 and 4 in weighted projective spaces from smaller codimension K3 surfaces whose rings are much simpler. This leads to the existence of almost all candidates for codimension 3 K3 surfaces in the list1
Abstract. I construct some smooth Calabi–Yau threefolds in characteristic two and three that do not ...
We develop a new method for constructing K3 surfaces. We construct such a K3 surface $X$ by patching...
This is the text of a lecture given at 2 workshops at the Univ. of Utah in Nov 1989 and the Univ. of...
The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford g...
Understanding Diophantine equations is one of the fundamental goals of mathematics. Algebraic geomet...
We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particul...
40 pages, 7 tables, 2 ancilliary filesInternational audienceIn this paper we study the geometry of t...
We give a description of the category of ordinary K3 surfaces over a finite field in terms of linear...
Abstract. We develop a mixed-characteristic version of the Mori-Mukai technique for producing ration...
89 pages, 80 figures, 2 ancillary files with the used algorithms (using magma) and examplesWe study ...
11 pages, to appear (in slightly different from) in Arch. Math., comments very welcome !Internationa...
Abstract. In this paper we construct the first known explicit family of K3 surfaces defined over the...
Many recent constructions of varieties, including the lists of K3 surfaces in Magma, use graded ring...
Let $X$ be a closed subscheme of codimension $e$ in a projective space. One says that $X$ satisfies ...
We study presentations of Cox rings of K3 surfaces of Picard number 2. In particular we consider the...
Abstract. I construct some smooth Calabi–Yau threefolds in characteristic two and three that do not ...
We develop a new method for constructing K3 surfaces. We construct such a K3 surface $X$ by patching...
This is the text of a lecture given at 2 workshops at the Univ. of Utah in Nov 1989 and the Univ. of...
The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford g...
Understanding Diophantine equations is one of the fundamental goals of mathematics. Algebraic geomet...
We provide a criterion for when Hilbert schemes of points on K3 surfaces are birational. In particul...
40 pages, 7 tables, 2 ancilliary filesInternational audienceIn this paper we study the geometry of t...
We give a description of the category of ordinary K3 surfaces over a finite field in terms of linear...
Abstract. We develop a mixed-characteristic version of the Mori-Mukai technique for producing ration...
89 pages, 80 figures, 2 ancillary files with the used algorithms (using magma) and examplesWe study ...
11 pages, to appear (in slightly different from) in Arch. Math., comments very welcome !Internationa...
Abstract. In this paper we construct the first known explicit family of K3 surfaces defined over the...
Many recent constructions of varieties, including the lists of K3 surfaces in Magma, use graded ring...
Let $X$ be a closed subscheme of codimension $e$ in a projective space. One says that $X$ satisfies ...
We study presentations of Cox rings of K3 surfaces of Picard number 2. In particular we consider the...
Abstract. I construct some smooth Calabi–Yau threefolds in characteristic two and three that do not ...
We develop a new method for constructing K3 surfaces. We construct such a K3 surface $X$ by patching...
This is the text of a lecture given at 2 workshops at the Univ. of Utah in Nov 1989 and the Univ. of...