S.S. Abhyankar
Purdue University, USA
December 15, 2011
Curvettes and Jacobian Problem: Dicritical Divisors are a new tool of attacking the famous Jacobian Problem. Curvettes are a new way of looking at Dicritical Divisors. A Curvette is a snake-like quadratic sequence risiing from the base ring to a prime divisors. They induce an approximate factorization of a two variable polynomial which may or may not have a jacobian mate. Dicritical Divisors reminded me of Spiders in the Marathi Poem `EKA KOLIYANE EKADA APULE JALE BANDHIYELE....' A Curvette reminds me of the Nag-Panchami Baj Exihibition in a MANDIR in Gwalior where I grew up, and a curvette-pair is like the NAGAPASHA released by Indrajit. Just as spiders were joint work with Ignacio Luengo, snakes are joint work with Enrique Artal.
Purdue University, USA
December 15, 2011
Curvettes and Jacobian Problem: Dicritical Divisors are a new tool of attacking the famous Jacobian Problem. Curvettes are a new way of looking at Dicritical Divisors. A Curvette is a snake-like quadratic sequence risiing from the base ring to a prime divisors. They induce an approximate factorization of a two variable polynomial which may or may not have a jacobian mate. Dicritical Divisors reminded me of Spiders in the Marathi Poem `EKA KOLIYANE EKADA APULE JALE BANDHIYELE....' A Curvette reminds me of the Nag-Panchami Baj Exihibition in a MANDIR in Gwalior where I grew up, and a curvette-pair is like the NAGAPASHA released by Indrajit. Just as spiders were joint work with Ignacio Luengo, snakes are joint work with Enrique Artal.