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Geometry and Complex Variables: proceedings of an international meeting on the occasion of the IX centennial of the University of Bologna [Kõva köide]

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This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables

This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.
1. A Vanishing Theorem for the Cohomology of a Vector Bundle Whose
Curvature Can Change Its Sign
2. Incidence Structures and Galois Geometries
3. Beltram's Operator and the Tail of the Cat
4. From Salvatore Pincherle's
"Operazioni Distributive" to J. Ecalle's Resurgent Functions
5. Pincherle e
la Teoria delle Funzioni Analitiche
6. Linear Systems: Developments of Some
Results by F. Enriques and B. Segre
7. Recent Results on Irregular Surfaces
and Irregular Kaehler Manifolds
8. A Few Comments on some Aspects of the
Mathematical Work of E Enriques
9. Geometry and Complex Variables in the Work
of Beppo Levi
10. When is a Conic Bundle Rational?
11. Quadratic Inequalities
for Hilbert Transforms and Hankel Forms in the Spaces £2 (T) and £2 (B)
12.
Some New Global Results in Twistor Geometry
13. Enriques Surfaces: Old and
New
14. Some Connections Between Equations and Geometric Properties of Monica
Ida Curves in P3
15. Biholomorphic Invariants of Real Submanifolds of Cn
16.
Le Prime Ricerche di Pietro Mengoli: La Somma delle Serie
17. Composition and
Fatou Limits
18. The Bernstein Theorems for the Fantappiè Indicatrix and
Their Applications to Mathematical Economics
19. Microlocal Analysis on Three
Dimensional CR Manifolds
20. Recent Contributions to the Calculus of Finite
Differences: A Survey
21. Local Differential Properties of Algebraic
Surfaces: Luigi Muracchini Dipartimento di Matematica, Università di Bologna
22. The Method of Holomorphic Waves and Its Applications to Partial
Differential Equations
23. Ricerca Matematica e Vita Accademica a Bologna nel
Secolo XVIII
24. Cauchy-Fantappiè Formules in Multidimensional Complex
Analysis
25. Maria Gaetana Agnesi
26. An Extension to Fantappies Theory of
Analytic Functionals
27. On B. Segre and the Theory of Polar Varieties
28.
Pseudoconformal Invariants and Differential Geometry
29. Giuseppe Vitali and
the Mathematical Research at Bologna
30. Contact Curves of Two Kummer
Surfaces
31. Krein Spaces and Holomorphic Isometries of Cartan Domains
32.
L'insegnamento della Matematica nellUniversità di Bologna dal 1860 al 1940