Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

More about us

**MathSchoolinternational** contain thousands of
**Mathematics Free Books** and
**Physics Free Books**. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
**Best Free Math Websites** for teachers and students.

Here is extisive list of
**Algebraic Geometry Books **. We hope students and teachers like these **textbooks**, notes and solution manuals.

**Share this page:- **

**About this book :- **
**Lecture Notes Algebraic Geometry III/IV ** written by
** Matt Kerr **

This book contain consist the lecture notes to an idea of algebraic geometry.

**Book Detail :- **
** Title: ** Lecture Notes Algebraic Geometry III/IV
** Edition: **
** Author(s): ** Matt Kerr
** Publisher: **
** Series: **
** Year: **
** Pages: ** 331
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **
** Get Similar Books from Amazon **

**Join our new updates, alerts:-**

For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).

Join WhatsApp Group

Join Telegram Group

**Book Contents :- **
**Lecture Notes Algebraic Geometry III/IV ** written by
** Matt Kerr **
cover the following topics.
**Introduction and Motivation**

Two theorems on conics in the plane, Riemann surfaces and algebraic curves, The normalization theorem, Lines, conics, and duality
**General definitions and results**

Complex manifolds and algebraic varieties, More on projective algebraic varieties, Smooth varieties as complex manifolds, The connectedness of algebraic curves, Hilbert’s nullstellensatz, Local analytic factorization of polynomials, Proof of the normalization theorem, Intersections of curves, Meromorphic 1-forms on a Riemann surface, The genus formula, Some applications of Bézout
**Cubic curves**

The singular cubic, Putting a nonsingular cubic in standard form, Canonical normalization of the Weierstrass cubic, Group law on the nonsingular cubic, Abel’s theorem for elliptic curves, The Poncelet problem, Periods of families of elliptic curves, Counting Fp-rational points on elliptic curves
** Curves of higher genus **

The algebraicity of global analytic objects, The Riemann-Roch Theorem, Applications of Riemann-Roch, I: special Riemann surfaces, Applications of Riemann-Roch, II: general Riemann surfaces, Abel’s Theorem, part I, Abel’s Theorem, part II
**Appendix: **

Genera of singular curves

?1

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?