Globally Generated Vector Bundles with Small _{\tiny}1 on Projective Spaces

Introduction • Acknowledgements • Preliminaries • Some general results • The cases $c_1=4$ and $c_1 = 5$ on ${\mathbb P}^2$ • The case $c_1 = 4$, $c_2 = 5, 6$ on ${\mathbb P}^3$ • The case $c_1 = 4$, $c_2 = 7$ on ${\mathbb P}^3$ • The case $c_1 = 4$, $c_2 = 8$ on ${\mathbb P}^3$ • The case $c_1 = 4$, $5 \leq c_2 \leq 8$ on ${\mathbb P}^n$, $n \geq 4$ • Appendix A. The case $c_1 = 4$, $c_2 = 8$, $c_3 = 2$ on ${\mathbb P}^3$ • Appendix B. The case $c_1 = 4$, $c_2 = 8$, $c_3 = 4$ on ${\mathbb P}^3$ • Bibliography •