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Search Results: 1 - 10 of 454530 matches for " János Kollár "
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Oncology Concerts []
Kollár, János
GMS Zeitschrift für Medizinische Ausbildung , 2007,
Abstract:
Einstein metrics on connected sums of $S^2\times S^3$
János Kollár
Mathematics , 2004,
Abstract: The aim of this paper is to construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of $S^2\times S^3$. We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A K\"ahler--Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi--Boyer--Galicki method.
Non--quasi--projective moduli spaces
János Kollár
Mathematics , 2005,
Abstract: We show that every smooth toric variety (and many other algebraic spaces as well) can be realized as a moduli space for smooth, projective, polarized varieties. Some of these are not quasi--projective. This contradicts a recent paper (Quasi--projectivity of moduli spaces of polarized varieties, Ann. of Math. 159 (2004) 597--639.).
Is there a topological Bogomolov--Miyaoka--Yau inequality?
János Kollár
Mathematics , 2006,
Abstract: The aim of this paper is to consider a possible extension of the Bogomolov--Miyaoka--Yau inequality to differentiable orbifolds. The conjectured extension is related to the Montgomery--Yang problem about circle actions on the 5--sphere and also to the H--cobordism of Seifert fibered 3--manifolds. Related conjectures on algebraic surfaces with quotient singularities which have the same rational homology as the projective plane are also considered. Finally we give such examples which are birational to the projective plane yet have ample canonical class.
Two examples of surfaces with normal crossing singularities
János Kollár
Mathematics , 2007,
Abstract: This note gives two examples of surfaces with normal crossing singularities. In the first example the canonical ring is not finitely generated. In the second, the canonical line bundle is not ample but its pull back to the normalization is ample. The latter answers in the negative a problem left unresolved in [EGA,III.2.6.2] and raised again by Viehweg.
Diophantine subsets of function fields of curves
János Kollár
Mathematics , 2007,
Abstract: We consider diophantine subsets of function fields of curves and show, roughly speaking, that they are either very small or very large. In particular, this implies that the ring of polynomials $k[t]$ is a not a diophantine subset of the field of rational functions $k(t)$ for many fields $k$.
Quotients by finite equivalence relations
János Kollár
Mathematics , 2008,
Abstract: This note studies the existence of quotients by finite set theoretic equivalence relations. May 18: Substantial revisions with a new appendix by C. Raicu
Semi log resolution
János Kollár
Mathematics , 2008,
Abstract: The aim of this note is to discuss resolution theorems that are useful in the study of semi log canonical varieties.
Which powers of holomorphic functions are integrable?
János Kollár
Mathematics , 2008,
Abstract: We show that every limit of log canonical thresholds of n-variable functions is also a log canonical threshold of an (n-1)-variable function.
Hulls and Husks
János Kollár
Mathematics , 2008,
Abstract: The aim of this note is to prove an analog of the flattening decomposition theorem for reflexive hulls. The main applications are: the construction of the moduli space of varieties of general type, improved flatness conditions and criteria for simultaneous normalizations.
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