منابع مشابه
Exotic structures and adjunction inequality
Theorem 1.1. ([E]) Let X = B ∪ (1-handles) ∪ (2-handles) be four-dimensional handlebody with one 0-handle and no 3or 4-handles. Then • The standard symplectic structure on B can be extended over 1-handles so that manifold X1 = B 4 ∪ (1-handles) is a compact Stein domain. • If each 2-handle is attached to ∂X1 along a Legendrian knot with framing one less then Thurston-Bennequin framing of this k...
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Sufficient conditions are provided for quantifier elimination to hold in a first-order theory. The conditions have two main purposes: (1) to ensure that satisfaction of existential formulas is reflected by an embedding; and (2) to guarantee the existence of a “minimal" model of the theory extending a model of the universal formulas entailed by the theory. The first goal is obtained by requiring...
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The idea of adjunction can be traced back to the beginnings of generative syntax. Already Zellig Harris used adjunction and in [Harris, 1979] even exposes the idea that sentence meanings can be derived from kernel sentences via adjunction. Today, TAGs and the somewhat lesser known contextual grammars ([Marcus, 1967]) still use adjunction as a major syntactic operation. Recently, [Kallmeyer and ...
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We generalize the notions of F-regular and F-pure rings to those for a pair (R, a) of a ring R and an ideal a ⊂ R with real exponent t > 0, and investigate those properties. Those “F-singularities of pairs” correspond to singularities of pairs of arbitrary codimension in birational geometry. Via this correspondence, we prove Inversion of Adjunction of arbitrary codimension, which states that fo...
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Our work over the past years shows that not only the collection of (for instance) all topological spaces gives rise to a category, but also each topological space can be seen individually as a category by interpreting the convergence relation x −→ x between ultrafilters and points of a topological space X as arrows in X. Naturally, this point of view opens the door to the use of concepts and id...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2009
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2009.3.907