How Long to Read Surfaces with K^2 = 7 and p_g = 4

How Long Does it Take to Read Surfaces with K^2 = 7 and p_g = 4?

It takes the average reader 1 hour and 21 minutes to read Surfaces with K^2 = 7 and p_g = 4 by Ingrid C. Bauer

Assuming a reading speed of 250 words per minute. Learn more

Description

The aim of this monography is the exact description of minimal smooth algebraic surfaces over the complex numbers with the invariants $K^2 = 7$ und $p_g = 4$. The interest in this fine classification of algebraic surfaces of general type goes back to F. Enriques, who dedicates a large part of his celebrated book Superficie algebriche to this problem. The cases $p_g = 4$, $K^2 \leq 6$ were treated in the past by several authors (among others M. Noether, F. Enriques, E. Horikawa) and it is worthwile to remark that already the case $K^2 = 6$ is rather complicated and it is up to now not possible to decide whether the moduli space of these surfaces is connected or not. We will give a very precise description of the smooth surfaces with $K^2 =7$ und $p_g =4$ which allows us to prove that the moduli space $\mathcal{M}_{K^2 = 7, p_g = 4$ has three irreducible components of respective dimensions $36$, $36$ and $38$.A very careful study of the deformations of these surfaces makes it possible to show that the two components of dimension $36$ have nonempty intersection. Unfortunately it is not yet possible to decide whether the component of dimension $38$ intersects the other two or not. Therefore the main result will be the following: Theorem 0.1. - The moduli space $\mathcal{M}_{K^2 = 7, p_g = 4}$ has three irreducible components $\mathcal{M}_{36}$, $\mathcal{M}'_{36}$ and $\mathcal{M}_{38}$, where $i$ is the dimension of $\mathcal{M}_i$.; $\mathcal{M}_{36} \cap \mathcal{M}'_{36}$ is non empty. In particular, $\mathcal{M}_{K^2 = 7, p_g = 4}$ has at most two connected components; and $\mathcal{M}'_{36} \cap \mathcal{M}_{38}$ is empty.

How long is Surfaces with K^2 = 7 and p_g = 4?

Surfaces with K^2 = 7 and p_g = 4 by Ingrid C. Bauer is 79 pages long, and a total of 20,461 words.

This makes it 27% the length of the average book. It also has 25% more words than the average book.

How Long Does it Take to Read Surfaces with K^2 = 7 and p_g = 4 Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 51 minutes to read Surfaces with K^2 = 7 and p_g = 4 aloud.

What Reading Level is Surfaces with K^2 = 7 and p_g = 4?

Surfaces with K^2 = 7 and p_g = 4 is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

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