
Professor Vladimir Berkovich Tel: +97289343216 
* The marked files may be slightly different from the published versions, e.g., they may not include corrections made to the proofs.
Complex analytic vanishing cycles for formal schemes May, 2015 (revised on February 26, 2017). 
942 KB  
Finiteness theorems for vanishing cycles of formal schemes Israel J. Math. 210 (2015), 147191. 
491 KB  
A nonArchimedean interpretation of the weight zero subspaces of limit mixed Hodge structures in Algebra, Arithmetic and Geometry. Volume I: In Honor of Y.I. Manin, Progress in Mathematics, vol. 269, Birkhäuser Boston, 2010, 4967. 
*273 KB  
Nonarchimedean analytic geometry: first steps in padic Geometry: Lectures from the 2007 Arizona Winter School, University Lecture Series, vol. 45, American Mathematical Society, Providence, R.I., 2008, 17. 
124 KB  
Integration of Oneforms on Padic Analytic Spaces Annals of Mathematics Studies 162, Princeton University Press, Princeton and Oxford, 2006, 156 pp. 
PDF
PUP 
*900 KB
$67.50 
Smooth padic analytic spaces are locally contractible. II in Geometric Aspects of Dwork Theory, Walter de Gruyter & Co., Berlin, 2004, 293370. 
584 KB  
A result on vanishing cycles Appendix to Harris, M.; Taylor, R.: The Geometry and Cohomology of Some Simple Shimura Varieties, Annals of Mathematics Studies 151, Princeton University Press, Princeton and Oxford, 2001, 257260. 
*99 KB  
An analog of Tate's conjecture over local
and finitely generated fields Internat. Math. Res. Notices 2000, no. 13, 665680. 
171 KB  
Smooth padic analytic spaces are locally contractible Invent. Math. 137 (1999), no. 1, 184. 
692 KB  
pAdic Analytic Spaces in Proceedings of the International Congress of Mathematicians, Berlin, August 1998, Doc. Math. J. DMV, Extra Volume ICM II (1998), 141151. 
173 KB  
Vanishing cycles for formal schemes. II Invent. Math. 125 (1996), no. 2, 367390. 
467 KB  
Vanishing cycles for nonArchimedean analytic spaces J. Amer. Math. Soc. 9 (1996), no. 4, 11871209. 
533 KB  
The automorphism group of the Drinfeld halfplane C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 9, 11271132. 
*150 KB  
On the comparison theorem for étale cohomology of nonArchimedean analytic spaces Israel J. Math. 92 (1995), 4560. 
644 KB  
Vanishing cycles for formal schemes Invent. Math. 115 (1994), no. 3, 539571. 
1.8 MB  
Étale cohomology for nonArchimedean analytic spaces Publ. Math. IHES 78 (1993), 5161. 
17 MB  
Spectral theory and analytic geometry over nonArchimedean fields Mathematical Surveys and Monographs, vol. 33, American Mathematical Society, Providence, RI, 1990, 169 pp. 
AMS  $57, $71 
Complex analytic vanishing cycles for formal schemes Video of a talk at the Joint IAS/PU Number Theory Seminar Institute for Advanced Study, Princeton, December 12, 2013 
MP4  Link 
Integration of oneforms on padic analytic spaces Notes of a talk at the Simons Simposium on nonArchimedean and tropical geometry St. John, US Virgin Islands, April 1  5, 2013 
243 KB  
Analytic geometry over F1 Slides of a talk at the conference on the occasion of Francesco Baldassarri’s 60th birthday Padova, February 3  5, 2011 
583 KB  
Algebraic geometry over F1 Videos of four lectures at the Summer school on Berkovich spaces Institut de Mathématiques de Jussieu, Paris, June 28  July 10, 2010 
MOV  Link 
Nonarchimedean analytic spaces Notes of lectures at the Advanced School on padic Analysis and Applications ICTP, Trieste, August 31  September 11, 2009 
323 KB 
Analytic geometry over F1 20092012 
922 KB  
Algebraic geometry over F1 20092012 
919 KB  
Étale equivariant sheaves on padic analytic spaces 19951996 
182 KB 