Geometric and Combinatorial Aspects of Commutative Algebra, Vol. 217 Book

	Preface	iii
	Contributors	ix
	Participants	xiii
1.	On Free Complete Intersections	1
2.	On the Number of Ideals of Finite Colength	11
3.	Realizable Sequences Linked to the Hilbert Function of a 0-Dimensional Projective Scheme	21
4.	Lexsegment Ideals in the Exterior Algebra	43
5.	On the Equations Defining Toric Projective Varieties	57
6.	KRS and Determinantal Ideals	67
7.	The Koszul Complex in Projective Dimension One	89
8.	Grobner Bases as Characteristic Sets	99
9.	Threefolds with Degenerate Secant Variety: On a Theorem of G. Scorza	111
10.	The Unirationality of All Conic Bundles Implies the Unirationality of the Quartic Threefold	125
11.	Gaussian Ideals and the Dedekind-Mertens Lemma	131
12.	Depth Formulas for Certain Graded Modules Associated to a Filtration: A Survey	145
13.	Extremal Betti Numbers of Lexsegment Ideals	159
14.	Local Monomialization	165
15.	Isomorphism of Complexes and Lifts	175
16.	Weil Divisors on Rational Normal Scrolls	183
17.	Families of Wronskian Correspondences	199
18.	A Note on Hodge's Postulation Formula for Schubert Varieties	211
19.	Unimodular Rows and Subintegral Extensions	221
20.	On Commutative FGS-Rings with Ascending Condition on Annihilators	227
21.	Cohen-Macaulay F-Injective Homomorphisms	231
22.	Valuations of Ideals, Evolutions and the Vanishing of Cohomology Groups	245
23.	On Integral Schemes of Vector Fields	259
24.	Roberts Rings and Dutta Multiplicities	273
25.	Hilbert Functions of Squarefree Veronese Subrings	289
26.	On the Conductor of a Surface at a Point Whose Projectivized Tangent Cone Is a Generic Union of Lines	301
27.	Lifting Problem for Codimension Two Subvarieties in P[superscript n+2]: Border Cases	309
28.	Rank Two Bundles and Reflexive Sheaves on P[superscript 3] and Corresponding Curves: An Overview	327
29.	On the Structure of Ext Groups of Strongly Stable Ideals	345
30.	An Introduction to Tight Closure	353
31.	Eisenbud-Goto Inequality for Stanley-Reisner Rings	379