Codimension and connectedness of degeneracy loci over local rings

[1]  Fabio Tanturri.  On the Hilbert scheme of degeneracy loci of twisted differential forms , 2014, 1401.8188.

[2]  Steven V. Sam.  Schubert complexes and degeneracy loci , 2010, 1006.5514.

[3]  A. Grothendieck,et al.  Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2) , 2005, math/0511279.

[4]  W. Graham.  Nonemptiness of skew-symmetric degeneracy loci , 2003, math/0305221.

[5]  W. Graham.  Nonemptiness of symmetric degeneracy loci , 2003, math/0305159.

[6]  D. Eisenbud,et al.  What is the Rees algebra of a module , 2002, math/0209187.

[7]  D. Eisenbud,et al.  Heights of ideals of minors , 2002, math/0209184.

[8]  D. Eisenbud,et al.  Order ideals and a generalized Krull height theorem , 2002, math/0205275.

[9]  D. Eisenbud,et al.  A simple proof of some generalized principal ideal theorems , 2001, math/0209186.

[10]  D. Eisenbud.  Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .

[11]  Miles Reid,et al.  Commutative Ring Theory , 1989 .

[12]  W. Fulton,et al.  On the connectedness of degeneracy loci and special divisors , 1981 .

[13]  P. Pragacz,et al.  Ideals generated by Pfaffians , 1979 .

[14]  D. Eisenbud,et al.  A generalized principal ideal theorem , 1976, Nagoya Mathematical Journal.

[15]  T. Willmore.  Algebraic Geometry , 1973, Nature.

[16]  D. Gieseker.  P-Ample Bundles and Their Chern Classes , 1971, Nagoya Mathematical Journal.

[17]  S. Kleiman.  Ample vector bundles on algebraic surfaces , 1969 .

[18]  J. Eagon,et al.  Ideals defined by matrices and a certain complex associated with them , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[19]  Franziska Abend,et al.  Joins And Intersections , 2016 .

[20]  L. Tu.  The connectedness of degeneracy loci , 1990 .

[21]  K. Brown,et al.  Graduate Texts in Mathematics , 1982 .

[22]  W. Bruns.  The Eisenbud-Evans generalized principal ideal theorem and determinantal ideals , 1981 .

[23]  R. Hartshorne.  Ample vector bundles , 1966 .