منابع مشابه
Extending symmetric determinantal quartic surfaces
We give an explicit construction for the extension of a symmetric determinantal quartic K3 surface to a Fano 6-fold. Remarkably, the moduli of the 6-fold extension are in one-to-one correspondence with the moduli of the quartic surface. As a consequence, we determine a 16-parameter family of surfaces of general type with pg = 1 and K = 2 as weighted complete intersections inside Fano 6-folds.
متن کاملUTAH STATE CONFERENCE Determinantal Identities Revisited
This article reports on a talk given by the second-named author which is based on the partly expository paper [1]. The paper contains statements and proofs of determinantal identities ascribed to the mathematicians whose names occur in the title of [1], including the "laws" of Muir and Cayley. This account is followed by a formal treatment of determinantal identities which permits us to state t...
متن کاملNon-commutative extensions of classical determinantal identities
We present several non-commutative extensions of MacMahon Master Theorem and Sylvester’s Identity. The proofs are combinatorial and new even in the classical (commutative) cases. Résumé. Nous présentons plusieurs extensions noncommutatives du Master théorème de MacMahon et de l’identité de Sylvester. Même dans les cas classiques (commutatifs), les démonstrations sont nouvelles et de nature comb...
متن کاملGeneralization of Some Determinantal Identities for Non-square Matrices Based on Radic’s Definition
In this paper, we focus on Radic’s definition for the determinant of non-square matrices. We develop some important properties of this determinant. We generalize several classical important determinant identities, including Dodgson’s condensation, Cauchy-Binet, and Trahan for non-square matrices. Also, we propose an efficient algorithm with Θ((mn)) time complexity for computing Radic’s determin...
متن کامل0 M ay 2 00 6 Determinantal Characterization of Canonical Curves and Combinatorial Theta Identities
Canonical curves are characterized by the vanishing of combinatorial products of g + 1 determinants of the holomorphic abelian differentials. This also implies the characterization of canonical curves in terms of (g − 2)(g − 3)/2 theta identities and the explicit expression of the volume form on the moduli space of canonical curves induced by the Siegel metric. Together with the Mumford form, i...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1990
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90060-p