WebThis book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.After a concise introduction to Gröbner and Sagbi bases, determinantal.. WebDec 3, 2024 · It exploits the information on the initial ideal for structural results with a homological flavor, as well as in the computation of enumerative data such as multiplicities and Hilbert series. We...
Determinants, Gröbner Bases and Cohomology
WebDec 3, 2024 · Determinants, Groebner Bases and Cohomology provides a unique reference for the theory of determinantal ideals and varieties, as well as an introduction to the beautiful mathematics developed in their study. Accessible to graduate students with basic grounding in commutative algebra and algebraic geometry, it can be used … small craftsman air compressor
Bruns W., Conca A., Raicu C., Varbaro M. Determinants, Gröbner Bases ...
WebThe book concludes with a computation of cohomology with support in determinantal ideals and a survey of their free resolutions. Determinants, Gröbner Bases and Cohomology … WebJan 17, 2024 · In positive characteristic, the Frobenius functor is used to study properties of singularities, such as F-regularity and F-rationality. In characteristic zero, the Borel–Weil–Bott theorem provides sharper results for GL-invariant ideals. WebDec 3, 2024 · However, there seems to be no transparent elementary access to the Gröbner basis of the ideal of t-minors for \(t>2\).One obvious reason, already mentioned in Chap. 3, is the failure of injectivity in the assignment of initial monomials to standard bitableaux.As Sturmfels discovered, this failure can be remedied: instead of the initial … small craftsman house