Maurizio Cailotto Math Research Page |
| This page is dedicated to my research interests. I'm discussed a "Tesi di Laurea" (September, 22, 1994) on "radii of convergence for p-adic differential equation" under the direction of Bernard Dwork and Francesco Baldassarri. Then I'm written a PhD. Thesis (February, 22, 2000) on "Relative Logarithmic Cohomology" under the direction of Francesco Baldassarri. In the last time I'm interested in Logarithmic Geometry, in particular differential problems, Duality for De Rham coeffcients (with Francesco Baldassarri and Luisa Fiorot) and Duality in the setting of abstract Derived Categories. |
| -- Reference cards on Homological Algebra (cover), note in margine ad un corso finanziato dal GNSAGA-Istituto Nazionale Alta Matematica F.Severi, tenuto presso l'Universita` di Padova, marzo-giugno 2000: |
| 1. Spectral Sequences |
| 2. Homological Categories (Abelian, Triangulated, t- and Derived) |
| -- Reference cards on Logarithmic Geometry (cover), note in margine a seminari di Geometria, Universita` di Padova: |
| 1. Monoids |
| 2. Logarithmic Schemes |
| -- Research Papers: |
| 1. "Algebraic Connections on Logarithmic Schemes", CRASP, 2001, t.333,1089-1094 |
| 1'. "Algebraic Connections on Logarithmic Schemes: Residues and Local Freeness", Preprint 06 - 15 maggio 2002 Math. Dep. of Padova Univ. |
| 2. I'm planning for a paper on "D-log Modules"; for the moment: "A note on Logarithmic Differential Operators", Preprint 16 - settembre 2003 Math. Dep. of Padova Univ. |
| 3. (with Francesco Baldassarri and Luisa Fiorot) "Poincaré Duality for Algebraic De Rham Cohomology", Preprint 05 - 7 maggio 2002 (pdf) Math. Dep. of Padova Univ. Now published: Manuscripta Math. 114, 61-116 (2004). |
| '4. "Linear Derived Dualities", Preprint 16 - 2 ottobre 2001 Math. Dep. of Padova Univ. |
| 4. "Deligne Localized Functors", preprint ArXiv math.CT/0404405, 24 pp., 2004. |
| 5. "A note on Kato-Nakayama spaces", CRASP, 2004, t.339,261-264 |
| 6. (with Francesco Baldassarri) "p-adic formulas and unit-root F-subcrystals of the hypergeometric system", preprint ArXiv math.NT/0409207, 20 pp., 2004 to appear in Rivista di Matematica di Parma. |
Last modified: October, 8, 2004
Author: Myself
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