On the smoothness of blow ups

References

• Bruns , W. , Simis , A. and Trung , Ngo Viet . 1991 . Blow-up of straightening-closed ideals in ordinal Hodge algebras . Trans. Amer. Math. Soc. , 326 : 507 – 528 .
   Google Scholar
• Bruns , W. and Vetter , U. 1988 . “ Determinantal rings ” . In Lecture notes in Math , Vol. 1327 , Berlin : Springer-Verlag .
   Google Scholar
• Conca , A. , Herzog , J. and Valla , G. 1996 . Sagbi bases with applications to blow-up algebras . J. reine angew. Math , 474 : 113 – 138 .
   Web of Science ®Google Scholar
• Cowsik , R.C. and Nori , M.V. 1976 . On the fibres of blowing up . J.Indian Math. Soc. , 40 : 217 – 222 .
   Google Scholar
• Eisenbud , D. 1995 . “ Commutative algebra with a view toward algebraic geometry ” . In Graduate Texts in Math , Berlin : Springer-Verlag .
   Google Scholar
• Eisenbud , D. 1988 . Linear sections of determinantal varieties . Amer. J. Math , 110 : 541 – 575 .
   Web of Science ®Google Scholar
• Eisenbud , D. and Huneke , C. 1983 . Cohen-Macaulay Rees algebras and their specialisation . J. Algebra , 81 : 202 – 224 .
   Web of Science ®Google Scholar
• Harris , J. and Geometry , Algebraic . 1992 . Graduate Texts in Mathematics , Vol. 133 , Berlin : Springer-Verlag .
   Google Scholar
• Herzog , J. 1974 . Certain complexes associated to a sequence and a matrix . Manuscripta Math , 12 : 217 – 248 .
   Google Scholar
• Hochster , M. 1973 . Criteria for equality of ordinary and symbolic powers of primes . Math. Z. , 133 : 53 – 65 .
   Web of Science ®Google Scholar
• Herrmann , M. , Ikeda , S. and Orbanz , U. 1988 . Equimultiplicity and blowing up , Berlin : Springer-Verlag .
   Google Scholar
• Huneke , C. 1981 . On the symmetric algebra of a module . J. Algebra , 69 : 113 – 119 .
   Google Scholar
• Huneke , C. 1981 . Powers of ideals generated by weak d-sequences . J. Algebra , 68 : 471 – 509 .
   Google Scholar
• Huneke , C. 1981 . Symbolic powers of prime ideals and special graded algebras . Comm. in AIgebra , 9 : 339 – 366 .
   Web of Science ®Google Scholar
• Huneke , C. 1982 . On the associated graded ring of an ideal . Illinois J Math , 26 : 121 – 137 .
   Web of Science ®Google Scholar
• Kotzev , B.V. 1991 . Determinantal ideals of linear type of a generic symmetric matrix . J. Algebra 139 , 139 : 484 – 504 .
   Web of Science ®Google Scholar
• Maurer , K. Eine Variante der Moh-Curven, preprint
   Google Scholar
• Morey , S. 1996 . Equations of blowups of ideals of codimension two and three . J. Pure Applied Algebra , 109 : 197 – 211 .
   Google Scholar
• O'Carroll , L. 1996 . A generic approach to the structure of certain normal ideals . Compositio Math , 104 : 217 – 225 .
   Google Scholar
• Robbiano , L. and Valla , G. 1983 . On set-theoretic complete intersections in the projective space . Rend. Sem. Mat. Fis. Milano , 53 : 333 – 346 .
   Google Scholar
• Valla , G. 1981 . On determinantal ideals which are set-theoretic complete intersections . Comp. Math , 42 : 3 – 11 .
   Web of Science ®Google Scholar
• Vasconcelos , W.V. 1994 . “ Arithmetic of blowup algebras ” . In London Math. Soc. Lecture Note Series 195 , Vol. 195 , Cambridge : Cambridge Univ. Press .
   Google Scholar
• Vasconcelos , W.V. 1991 . On the equations of Rees algebras . J. reine angew. Math , 418 : 189 – 218 .
   Web of Science ®Google Scholar